2x+4y=10 and 3x+7=y by substitution method

Answers

Answer 1

Answer:

x=-9/7, y=22/7

Step-by-step explanation:

Since we're using substitution, and the second equation already has the y isolated on one side, we just substitute the 'y' in 4y from the first equation with the right side of the second equation, which gets us 2x+4(3x+7)=10. Then, we simplify to get that x=-9/7. Now, we use substitution again to replace the x value in the second equation to get y. So 3(-9/7)+7=y, y=22/7.

Final answer: x=-9/7, y=22/7

I hope this helped! :D


Related Questions

What is the domain of the relation graphed below?

Answers

Answer:

There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).

A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}

B domain: {–3, –2, 0, 1, 4}

C domain: {–5, –4, –3, 1, 2, 5}

D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer:

what can i help u with

Step-by-step explanation:

Option C is correct that is domain is {-5,-4,-3,1,2,5}Explanation:The domain is the values that x will take

Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.

Answers

Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

Identify the cross section shown

circle
rectangle
triangl
trapezoid

Answers

It is a rectangle

The shaded thing

Must click thanks and mark brainliest

Examine the table, which contains some points of a quadratic function

Answers

Answer:

Hello,

Step-by-step explanation:

A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE

B: There are only 2 roots for quadratic function : FALSE

C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE

D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE

E: TRUE (function is y=(x+1)(x-5)=x²-4x-5

F: minimum=-9 TRUE

G: TRUE (see graph jointed)

H: TRUE like F

I: FALSE

3. Find the product, using suitable properties :
a) 26 x (-48) + (-48) x (-36)
b) 625 x (-35) + (-625) x 65

please answer fast 10 marks

Answers

a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480

b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500

I hope I helped you^_^

If f(x)=5x-3 find x=2

A.7
B.4
C.-4
D.-5

Answers

Answer: A. 7

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given Information

f(x) = 5x - 3

x = 2

Substitute the value into the function

f(2) = 5 (2) - 3

f(2) = 10 - 3

f(2) = 7

Hope this helps!! :)

Please let me know if you have any questions

ALGEBRA 2

Name the property of real numbers illustrated by each equation.

#21

Answers

Answer:

The property showed in the number 21 is the distributive property

Solve for e 16-3e=7/5e+11.6

Answers

Answer:

e =1

Step-by-step explanation:

[tex]16-3e=\frac{7}{5} e +11.6\\4.4-3e=\frac{7}{5}e\\4.4=\frac{22}{5} e\\22=22e\\1=e[/tex]

The volume of this cube is 2.744 cubic meters. What is the value of t?

Answers

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

The circumference of a circle is 97 m.
What is the area of the circle?
O 4.57 m²
o 187 m²
0 20.257 m2
O 817 m2

Answers

Answer

295.4426m²

Step-by-step explanation:

97m÷2=48.5

a=πr²a=(π×48.5)²a= (3.14×94.09)a= 295.4426m²

Determine the perimeter of a rectangle with a length of 2 feet and a width of 6 inches. (Multiple choice)
—————
2.5 feet
8 feet
5 feet
16 feet

Answers

Answer:

D or 16

Step-by-step explanation:

For perimeter, the formula is 2(L + W) where L is length, and W is width.

So 2 ( 2 + 6 )

= (4 + 12)

= 16

Find the surface area of the rectangular prism

Answers

Front: 60 cm^2

Area = 6 x 10 = 60

Back: 60 cm^2

Area = 6 x 10 = 60

Right: 30 cm^2

Area = 3 x 10 = 30

Left: 30 cm^2

Area = 3 x 10 = 30

Bottom: 18 cm^2

Area = 6 x 3 = 18

TOTAL: 216 cm^2

Formula I used:

SA of a rectangular prism:

2 (lw + hl + w)

Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.

Answer:

216 square cm

Brainliest, please!

Step-by-step explanation:

A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.

(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)

(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)

(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)

120 + 36 + 60 = 216 square cm

Prove that a triangle with sides x cm, 2x cm and root5x cm form a Right-angled triangle. ​

Answers

Step-by-step explanation:

x+2x+3x=180

6X=180

x=180/6

x=30

again

2 x=2×30

=60

3×=3×30

=90

What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x = -9 and x = 1
O x = -5 and x = 5
O x = -4 and x = 4
O x = -1 and x = 9

Answers

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

How to solve the quadratic equation?

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

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point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest​

Answers

Answer:

the answer is number 3)2

Step-by-step explanation:

subtract the both

If he = 7x -27 find the value of x

Answers

[tex]\\ \sf\longmapsto 7x-27=1[/tex]

[tex]\\ \sf\longmapsto 7x=1+27[/tex]

[tex]\\ \sf\longmapsto 7x=28[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28}{7}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

suppose that you need to determine what amount 6/7 of a quantity is. How many equal parts is the initial quantity divided into?

Answers

Answer:

7

Step-by-step explanation:

you would divide by 7 then times by 6

applications of rational numbers​

Answers

Step-by-step explanation:

Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.

Hope it helps you

Mark my answer as brainlist

have a nice day

13. PLEASE HELP ME
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.

A. length = 16 yd, width = 21 yd

B. length = 21 yd, width = 26 yd

C. length = 21 yd, width = 16 yd

D. length = 26 yd, width = 21 yd

Answers

Let length be xwidth=x+5

We know

[tex]\boxed{\sf Area=Length\times Width}[/tex]

Putting values

[tex]\\ \sf\longmapsto 336=x(x+5)[/tex]

[tex]\\ \sf\longmapsto x^2+5x=336[/tex]

[tex]\\ \sf\longmapsto x^2+5x-336=0[/tex]

Using mid term split

[tex]\\ \sf\longmapsto x^2-16x+21x-336=0[/tex]

[tex]\\ \sf\longmapsto x(x-16)+21(x-16)=0[/tex]

[tex]\\ \sf\longmapsto (x-16)(x+21)=0[/tex]

[tex]\\ \sf\longmapsto (x-16)=0\:or\:(x+21)=0[/tex]

[tex]\\ \sf\longmapsto x=16\:or\:x=-21[/tex]

Ignore negative value

[tex]\\ \sf\longmapsto Length=x=16yd[/tex]

[tex]\\ \sf\longmapsto Width=x+5=16+5=21yd[/tex]

Option a is correct

1. Find out which one has the width 5 yd longer
2. It is A and B
3. Multiply both
16x21= 336. 21x26=546
4. See which one equals 336
5. It is option A
6. Your answer is option A

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did.


Write an inequality to determine the number of cans, S, that Shane could have collected.

What is the solution set of the inequality?

Answers

Answer:

Shane=x

Abha=y

x+y>=2000

x-y=178 Which leads to x=178+y ..... #1

hence by substitution in the inequality

178+2y>=2000

2y>=2000-178

2y>=1822

y>=911 ......in #1

x>=178+911

x>=1089

Solutions x>=1089 & y>=911

Can someone help me with this please !!

Answers

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

9. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= 3x2 + 3?

A. (3, 0)

B. (–3, –3)

C. (3, 3)

D. (0, 3)

Answers

Answer:

C. (3, 3)

Step-by-step explanation:

Ryan just got hired for a new job and will make $48,000 in his first year Ryan was told that he can expect to get raises of $3,500 every year going forward.how much money in salary would Ryan make in his 24th year working at this job ?

Answers

Answer:

128500

Step-by-step explanation:

This is an arithmetic sequence with a common difference of 3500

The formula for an arithmetic sequence is

an = a1+d(n-1)  where a1 is the first term and d is the common difference

an = 48000+ 3500(n-1)

We want n = 24

a24 = 48000+3500(24-1)

       = 48000+3500(23)

       =48000+80500

       =128500

You have a basket. But it's not just any basket. It's a basket that can hold an infinite number of apples. So you take your infinite stash of apples and fill the infinite basket, so now you have an infinite amount of apples in an infinite basket. But then you get another infinite stash of apples. Would it be possible to fill the infinite basket with more infinite apples, even tho the basket already has an infinite amount of apples in it?

Answers

Answer:

Yes

Step-by-step explanation:

Because of the properties of infinity:

∞  + ∞ = ∞∞ * n = ∞∞ * ∞ = ∞

Answer:

nope.

Step-by-step explanation:

what is the volume of a cube with and edge length of 4 cm

Answers

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 cm^3

Answer:

64

Step-by-step explanation:

i guess so as the volume is 4×4×4

37. for the graph x= -3
please help

Answers

Answer: 0

Step-by-step explanation:

Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.

Perpendicular means at a 'right angle to'.

The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.

Answer: The slope perpendicular to the line is = 0

Explanation:

the line x= -3 is a special case of the equation of a straight line.

It is a vertical line, and since it parallel to the y-axis, it’s slope is undefined

A line perpendicular to it must be a horizontal line parallel to the x-axis

Parallel to the x-axis means the slope = 0

-8a-5=-7a+3 help someone

Answers

Answer: a = -8

Step-by-step explanation:

Given

-8a - 5 = -7a + 3

Subtract 3 on both sides

-8a - 5 - 3 = -7a + 3 - 3

-8a - 8 = -7a

Add 8a on both sides

-8a - 8 + 8a = -7a + 8a

a = -8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a = -8

Step-by-step explanation:

-8a-5=-7a+3                    Add 5 to both sides.

- 8a = - 7a + 3 + 5           Combine

-8a = - 7a + 8                  Add 7a to both sides

-8a + 7a = 8                    Combine

-a = 8                              Multiply by - 1

a = - 8                          

When you get a weird number like this, you should check it.

LHS = -8(-8) - 5

LHS = 64 - 5

LHS = 59

RHS = -(7*-8) + 3

RHS = -(-56) + 3

RHS = 56 + 3

RHS = 59

So a = - 8 must be right.


Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:

Answers

Answer:

9

Step-by-step explanation:

r/3  +5 ≤ 8

Subtract 5 from each side

r/3  +5 -5≤ 8-5

r/3   ≤ 3

Multiply each side by 3

r/3  *3 ≤ 3*3

r   ≤ 9

The only value that is less than or equal to 9 is 9

what is 500 x 200 + 300 - 400 =

Answers

Answer:

99900

Step-by-step explanation:

Answer:

500 x 200 + 300 - 400 =99900

Lisa kicked a ball against the wall at the indicated angle. What is the measure, in degrees, of <1?

Answers

Answer:

68°

Step-by-step explanation:

since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°

68°+44°+1=180

112°+1=180

1=180-112

=68°

I hope this helps

The measure of ∠1 is 68 degrees.

We have Lisa who kicked a ball against the wall at the indicated angle.

We have to determine the measure of the angle 1 in degrees.

What is the angle of a straight line ?

A straight line has an angle of 180 degrees.

According to question, we have -

∠3 = 68 degrees

∠2 = 44 degrees

Therefore -

∠3 + ∠2 + ∠1 = 180

68 + 44 + ∠1 = 180

112 + ∠1 = 180

∠1 = 180 - 112

∠1 = 68 degrees

Hence, the measure of ∠1 is 68 degrees.

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