Solve the system by substitution.
y = -3x + 17
2x + 3y = -5

Answers

Answer 1

Answer:

(8, -7)

Step-by-step explanation:

Hi there!

We are given this system:

y=-3x+17

2x+3y=5

And we want to solve the system

Let's solve it by substitution.

In the first equation, we are given y=-3x+17, which we can substitute -3x+17 as y into the second equation

2x+3(-3x+17)=5

Now do the distributive property

2x+-9x+51=-5

Combine like terms

-7x+51=-5

Subtract 51 from both sides

-7x=-56

Divide both sides by -7

x=8

Now substitute 8 as the value of x in y=-3x+17 to find the value of y

y=-3(8)+17

y=-24+17

y=-7

The answer is x=8, y=-7. If you need it as a point, it's (8, -7)

Hope this helps!


Related Questions

what is the volume of the circular cone below?

Answers

Answer:

200.96

Step-by-step explanation:

Volume of cone=(1/3)*pi*r^2*h

Volume=(1/3)*pi*16*12=64*3.14=200.96

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1.-4,-1,1,6

2.by substituting the values given, we get

32-|15+8|

32-|23|

32-23=9

3.-15+7=8

4..27-(-12)=27+12=39

5.-6.05+(-2.1)

-6.05-2.1=-8.15

6.-3/4-(-2/5)

-3/4+2/5

=-7/20

7.-9(-12)

=108

8.(3.8)(-4.1)

-15.58

9.(-8x)(-2y)+(-3y)(z)

(16xy)+(-3zy)

(16xy)-(3zy)

10.by substituting the value given,we get

2.5*(-3.2)+5

-8+5

-3

so here are the answers,mark as brainliest if u find it useful

thank you

-8(.75)-2(5+-4-4-4)+7(5)(5)

Answers

Answer:

183

Step-by-step explanation:

-8(.75)-2(5+-4-4-4)+7(5)(5)

-8(.75) = -6

-6-2(5+-4-4-4)+7(5)(5)

(5+-4-4-4) = (-7)

-6-2(-7)+7(5)(5)

7(5)(5) = 175

-6-2(-7)+175

-2(-7) = 14

-6+14+175=183

Use a calculator to find the mean of the data.
{225, 240, 199, 238, 205, 241, 225, 233, 219, 221, 222,
210, 195, 230, 225, 214, 234, 204, 240, 199, 208, 245}

Answers

Answer:

220.455

Step-by-step explanation:


How many dimes are there in four hundred
and sixty-seven million dollars?

Answers

Answer:4,670,000,000

Step-by-step explanation:

You just have to multiply 467,000,000 by 10

Answer:

4,670,000,000

Step-by-step explanation:

multiply by 10

Solve the equation. The letters a, b, and c are constants and a≠0
ax-7b = 9c

i got confused bc it doesn’t tell me what to solve for. please help! thank you!

Answers

yo no see heheh ooos wish 37/

3/8-(-51/4) simplest form

Answers

Answer:

13 1/8

Step-by-step explanation:

3/8-(-51/4)

Subtracting a negative is like adding

3/8 + 51/4

get a common denominator

3/8+ 51/4 *2/2

3/8 + 102/8

105/8

8 goes into 105 13 times with 1 left over

13 1/8

Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE HELP NEED DONE ASAP WILL GIVE BRAINLIEST

Answers

Answer:

4x+y=-32

Step-by-step explanation:

given,

slope (m) = -4

point: (-8,0)

as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]

so,

b = 0-(-4)×(-8) = -32

y=mx+b

or, y=-4x-32

or, 4x+y=-32

(this is the standard form of the line)

Using the equation y - y1 = m(x - x1)

y - 0 = -4(x - (-8))

y = -4(x + 8)

y = -4x - 32

The value of (2+3)(2-3) is​

Answers

Step-by-step explanation:

(2+3)(2-3)

=5×(-1)

= -5

good morning

have a great day

Find the common difference of the arithmetic sequence -6,2, 10, ​

Answers

Answer:

the common ratio is +8

10 - 2 = 8

2 - (-6) = 8

The expression 12y + 30 represents the area of wall painted blue. HURRY PLEASE!!!!!

Answers

Answer:

6 and (2y+5)

Step-by-step explanation:

Answer these questions about finding the missing
angle measures.
What is the measure of What is the measure of What can be concluded about these triangles?

Answer choices/:


what can be concluded?

1.corresponding angles are proportional
2.The triangles are congruent
3.The triangles are similar

Answers

Answer:

Answer number one  the

Step-by-step explanation:

the unequal triangles. If measured by angle, they are equivalent.

The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.

a. Find the domain.
b. What does the domain mean in this context?

Answers

Answer:

see below

Step-by-step explanation:

The domain is the values that the input takes

The values go from 0 to 7

0≤x≤7

This is the time from the initial launch until the object hits the ground

How do you simplify the following problem?: 9−4d≥−3

Answers

Answer:

d ≤3

Step-by-step explanation:

9−4d≥−3

Subtract 9 from each side

9-9−4d≥−3-9

−4d≥−12

Divide by -4, remembering to flip the inequality

-4d/-4 ≤ -12/-4

d ≤3

PLEASE HELP ASAP!! (stuck on this and it's due in 45 mins)

Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

1. Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L'

2. Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

3. What translation would move △JKL to △J"K" L directly?


A. 8 units right and 5 units up

B. 10 units left and 5 units up

C. 8 units right and 5 units up

D. 8 units right and 10 units up?

Answers

Answer:

the answer is b, 8 units right, and 5 units up

Step-by-step explanation:

The image of △JKL after a translation of 8 unit right and 5 units up to   △J"K" L directly.

What is translation?

The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.

Given  Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

and  Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',

and  Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)

change in J to J" is (5 - (-3), 9- 4) =(8 , 5),

same for K to K" and L to L"

ΔJKL moves 8 units right and 5 units up to  △J"K"L"

Hence  8 units right and 5 units up  translation would move △JKL to △J"K" L directly.

Learn more about translation;

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find the length of a line joining the point ( 4,3 ) and origin .​

Answers

Answer:

i think you have to count till you get to 4 or 3 then the remaining you plus with the 3

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

you have to use the distance formula, making the origin (0,0) the 1st point and (4,0) the second point.

[tex]d=\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]

[tex]d=\sqrt{(4-0)^{2}+(3-0)^2 }[/tex]

[tex]d=\sqrt{(4)^2+(3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

All of the following statements are true, except for which?
A. LIZM
B. FG = JK
C. ZJE ZF
D. LMHG

Answers

except for letter a. LIZM


Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and T(4, -1). What are the coordinates of vertex U if
RSTU is a parallelogram?

Answers

9514 1404 393

Answer:

  c)  (-5, -7)

Step-by-step explanation:

In a parallelogram, the midpoints of the diagonals are the same point. This means ...

  (R+T)/2 = (S+U)/2

  R +T -S = U

  (-6 +4 -3, -3 -1 -3) = U = (-5, -7)

PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.

Answers

Answer:

Step-by-step explanation:

first

3/10 & 7/10

second

5/9 & 4/9

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

J'(3 , 5)

Step-by-step explanation:

Rule for reflection over x-axis,

Original point(x , y)  After reflection (x, -y)

After reflection, there will be no change in the x-coordinate and y - coordinate will the change the sign

So, J(3,-5)    After reflection J'(3,5)

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square
I really need this ​

Answers

G I V E N :

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square

S O L U T I O N :

According to the question, first we need to get the T.S.A. or Total Surface Area of the cuboid then dividing it by ₹ 0.25 we can get the cost. After solving the concept will be more clear.

Let's start :

T.S.A = 2(lb + bh + hl)

Here,

l represents length

b represents breadth

h represents height

Now, putting the values of all these we get

T.S.A. = 2(6 × 4 + 4 × 3 + 3 × 6)

T.S.A. = 2(24 + 12 + 18) m²

T.S.A. = 2(54) m²

T.S.A. = 108 m²

Now, we are given that cost of every square metre costs ₹ 0.25

So, for 108 m² it will cost = ₹ 108 × 0.25 = ₹ 27

Hence, cost of painting the rectangular box is ₹ 27

Answer:Rs.2700

Step-by-step explanation:step1is 2[6*3]+2[6*4]=84

step2is 2[3*4]=24

24+84=108*25=2700

if y - 1/y =8 then find the value of y^2-1/y^3​

Answers

Step-by-step explanation:

[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]

factorise out y² ;

[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]

Find X round to the nearest tenth.

Answers

Answer:

x= 31.8

Step-by-step explanation:

22/sin(75) = 12/sin(x)

or, 22/(12×sin(75)) = 1/sin(x)

or, sin(x) = 12×sin(75)/22

or, x = arcsin(12×sin(75)/22)

or, x = 31.8 (rounded to the nearest tenth)

I was told that 3x- was -12 but I can’t understand how they got -12:/

Answers

Answer:

6

Step-by-step explanation:

They got 3x-12 because they took

3(x - 4)

and they distrubuted the 3 to the numbers in parenthesis,

how they did this was they multiplied 3 by x and got 3x then they kept the subtraction sign that is in the parenthesis. Then they multiplied 3 by the 4 and got 12.

then the equation was 3x - 12/2 = 6

Answer:

x=8

Step-by-step explanation:

[tex] \frac{3(x - 4)}{2} = 6[/tex]

Multiply 3 by what's in the bracket

[tex] \frac{3x - 12}{2} = 6[/tex]

Multiply through by the LCM of all the denominators

[tex] \frac{2(3x - 12)}{2} = 2 \times 6[/tex]

=The numerator 2 will cancel the denominator 2

[tex]3x - 12 = 12[/tex]

Grouping like terms

[tex]3x = 12 + 12[/tex]

Dividing both sides by 3

[tex] \frac{3x}{3 } = \frac{24}{3} [/tex]

[tex]x = 8[/tex]

Combine like terms in the given polynomial. Then, evaluate for x = 4, y = – 2.
xy – 2xy + 3x2 y — 4x y2 + 2xy2
3x2 y + 2xy2 – xy; – 56
C - xy – 2xy2 + 3x2y; – 56
Cx? y2 – 2; 62
C
– 2x y2 + 3x2y – xy; – 120

Need explanation please

Answers

Answer:

- 2 x y^2+3 x^2 y -xy

-120

Step-by-step explanation:

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

Combine like terms

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

- x y+3 x^2 y - 2 x y^2

Let x = 4 y = -2

-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2

Exponents first

-(4)(-2) +3(16) (-2) -2(4)(4)

Multiply

+8 -96-32

Add and subtract

-120

Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

Which statement BEST explains whether Jamal is correct or incorrect?

A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).

B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).

C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).

D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).

Answers

Answer:

c)

Step-by-step explanation:

x^2+4x-32 = (x-4)(x+8)

hence,

(x-4)(x+8) = 0

x = 4 or x = -8

the graph intersects at 4 not -4

Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0

Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

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Which does NOT represent an integer?
A.39/13
B. -3/5
C. 121 pi
D. 0

Answers

An integer is a whole number, so technically, both B and C are not integers…
Pi is an irrational number and fractions are not whole numbers.

9 in.
13 in.
10 in
Drawing not to scale
b. 90 in?
45 in?
d. 292.5 in.
c. 32 in?
a.

Answers

Answer:

a, a, d

Step-by-step explanation:

44

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 10 and h = 9 , then

A = [tex]\frac{1}{2}[/tex] × 10 × 9 = 5 × 9 = 45 in² → a

45

The area (A) of a parallelogram is

A = bh ( b is the base and h the perpendicular height )

Here b = 2 and h = 4 , then

A = 2 × 4 = 8 m² → a

46

A = bh ( with b = 4 and h = 10 )

A = 4 × 10 = 40 m² → d

Can someone help me calculating the area of the whole figure? ​

Answers

Answer:

5•5= 25 (5•5)÷2= 12.5  25+12.5=37.5

Step-by-step explanation:

Draw graphs of the following inequalities.
a.) X>3​

Answers

Answer:

Step-by-step explanation:

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