Mathematics College

solve each system of equations
5x- 2y = 3
2x + 5y = 7 Ordered pair​

Answers

Answer 1

Answer:

(1, 1)

Step-by-step explanation:

Solve the System of Equations

5x − 2y = 3

2x + 5y = 7

Solve for x in the first equation.

x =  3/5 + 2y /5

2x + 5y = 7

Replace all occurrences of x with   3/5 +2y /5  in each equation.

Replace all occurrences of x in 2x   + 5y   = 7 with   3/5 + 2y/5

 2 ( (3/5) +  (2y/5))+ 5y = 7

 x =  3/5 + 2y /5

Simplify 2((3/5)+(2y/5)) +5

6 + 29y  = 7  ⋅(5)

x = (3/5)+(2y/5)

Solve for y in the first equation.

Multiply both sides of the equation by 5.

6 + 29y = 7 ⋅ (5)

x = (3/5)+(2y/5)

 Remove parentheses.

6 + 29y = 7 ⋅ (5)

x = (3/5)+(2y/5)

Multiply 7 by 5.

6 + 29y = 35

x = (3/5)+(2y/5)

Move all terms not containing y to the right side of the equation.

Subtract 6 from both sides of the equation.

29y = 35 − 6

x = (3/5)+(2y/5)

Subtract 6 from 35.

29y = 29

x = (3/5)+(2y/5)

Divide each term by 29 and simplify.

Divide each term in 29y = 29 by 29.

29y/29  = 29/29

x = (3/5)+(2y/5)

Cancel the common factor of 29.

y = 29 /29

x = (3/5)+(2y/5)

Divide 29 by 29.

 y = 1

x = (3/5)+(2y/5)

Replace all occurrences of y with 1 in each equation.

Replace all occurrences of y in x = (3/5)+(2y/5) with 1.

  x = (3/5)+(2(1)/5)3

 y = 1

Simplify

x = (3/5)+(2(1)/5)3  

y = 1

 

x = 1

y = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(1, 1)

The result can be shown in multiple forms.

Point Form:

(1, 1)

Equation Form:

x = 1, y = 1

Answer 2

Answer:

(1, 1)

Step-by-step explanation:

We can solve each system of equations by using the elimination method for the first variable and then substituting for the second variable.

To eliminate, we must make one the same by multiplying the equation by a constant. Let's make x the same by multiplying the first equation with 2 and the second equation with 5. Both should get 10x.

10x - 4y = 6

10x + 25y = 35

Now we can eliminate x by subtracting these equations (this works since 10x - 10x = 0). So:

-4y - 25y = 6 - 35

-29y = -29

y = 1

Now that we have y, we can substitute it into either equation and solve for x.

5x - 2(1) = 3

5x = 5

x = 1

Answer: (1, 1)

Related Questions

If a driver drives at a constant rate of 34 miles per hour how long will it take the driver to drive 225 miles

Answers

Answer: i think 7 hrs

Step-by-step explanation: 225 divided by 34 equals 6.6 rounds to 7

Step-by-step explanation:

225 / 34 = 6.6

The driver will take about 6 hours and 36 minutes

Solve the following word problem using matrices:

Part of $30,000 is invested at 6% yearly interest, another part at 7%, and the remainder at 8% yearly interest. The total yearly interest income from the three investments adds up to $2200. The sum of the amounts invested at 6% and 7% equals the amount of money invested at 8%. How much is invested at each rate?

(Enter your answer in the form $x,xxx--with the amount invested at 6% first, then 7%, then 8%.)

Answers

Answer:

25%]

Step-by-step explanation:

4. Allison's vegetable garden is in shape of rectangle with an area of 10 feet^2. The width of
the garden is 3 1/3 feet. Find the length, in feet, of the vegetable garden.
3

Answers

Answer:

33333

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Option "c"

Step-by-step explanation:

All of the times

1. Warsaw Pact:  May 14, 1955

2. Berlin Wall: August 13, 1961

3. German reunification: 1990

4. Marshall Plan: April 3, 1948,

5. Soviet Union breaks up: December 26, 1991

oldest to most recent:

1948, 1955, 1961, 1990, 1991

If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the arbitrary integer.) t =

Answers

Answer:

a) the velocity of particle is -Aωsin (ωt + δ)

b) the velocity is zero when t =  (nπ - δ) / ω, n ∈ Z

Step-by-step explanation:

Given that;

s = A cos(ωt + δ)

(a)

Find the velocity of the particle at time t

the velocity of the particle is given as; v = ds/dt

so differentiate s = A cos(ωt + δ) on both sides with respect to t

v = ds/dt = d/dt [ A cos(ωt + δ) ]

v = A d/dt cos(ωt + δ)

v = -Asin(ωt + δ) d/dt(ωt + δ)

v = -Aωsin (ωt + δ)

therefore, the velocity of particle is -Aωsin (ωt + δ)

b)

When is the velocity 0?

Now since the velocity will be zero; lets set v = 0

-Aωsin (ωt + δ) = 0

sin (ωt + δ) = 0

ωt + δ = nπ

ωt = nπ - δ

t =  (nπ - δ) / ω, n ∈ Z

Therefore the velocity is zero when t =  (nπ - δ) / ω, n ∈ Z

blanking on this one

Answers

Answer:

skp

Step-by-step explanation:

and that i need answers please

Answers

Answer:

y=29

Step-by-step explanation:

Answer:

y=29

Step-by-step explanation:

We move all terms to the left:

58/y-(2)=0

The domain of the equation: y!=0

y∈R

We multiply all the terms by the denominator

-2*y+58=0

We add all the numbers together, and all the variables

-2y+58=0

We move all terms containing y to the left, all other terms to the right

-2y=-58

y=-58/-2

y=29

HELP ME OUT REALL FASTTTTTTTTT

Answers

It is 4/10, 1/10 because the common denominator for both of them is 10 so 5x2 = 10 and 2x2 = 4 so 4/10 and the other one you don’t have to do anything because the denominator is already 10 :) hope this helped

Solve the inequality. 4x‐1>‐9

Answers

Answer:

4x-1>9

Step-by-step explanation:

4x>9+1

4x>10

x>2.5

The answer that I got was x>-2.

There is an app that allows you to type up any question you may have and let’s you select how you want it to be solved.

Hope this helps!

Please answer! URGENT

Answers

Answer:

1/4

I hope this helps!

Answer:

Last option, D

Step-by-step explanation:

Its right. trust me

-4x - 9(x - 2)? Need help

Answers

Answer:

−13x+18

Step-by-step explanation:

=−4x+(−9)(x)+(−9)(−2)

=−4x+−9x+18

Combine Like Terms:

=−4x+−9x+18

=(−4x+−9x)+(18)

=−13x+18

Answer:

[tex] = - 4x - 9(x - 2) \\ = - 4x - 9x + 18 \\ = - 13x + 18[/tex]

I need help. Thank you.

Answers

Answer:

i believe it is y= 2/3x + 4

Answer:

y= 2/3x+4

Step-by-step explanation:

I did it on desmos.

Also, it is 4 because the line hits four and the slope is

2/3

Please help I’ve got a limited amount of time

Answers

Answer:

-2,4

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

y=mx+b

slope m=rise/run=2/2=1

b is y-intercept at 2

Teresa use 1/2 gallons of milk for one batch of hot chocolate if she use 3/4 gallons of milk the morning how many batches of hot chocolate did she make

Answers

Answer: 1 and a half batches

Step-by-step explanation: because 1/2 is the same as 2/4 so the half of two is 1 so if you add one to the 2/4 you get 3/4 and that is the same as 1 1/2 batches

Which expression is equivalent to -2(-7h -
4) + 6h?

a. 20h + 8

b. 20h - 4

c. 8h + 20

d. -h + 8


​

Answers

Answer:

A.) 20h + 8

Step-by-step explanation:

The answer is A. 20h+ 8

Distribute through the parentheses 14h+8+6h

Collect like terms 20h+8

If 2 cups equal a parent and two pence equal a quart and 4 quarts equal a gallon how many cups are there in 4 gallons?

HELP ASAP PLEASE!

Answers

64 cups hope this helps

A factory makes cars at a constant rate. The table shows the number of car’s made for different length’s of time. A manager draw’s a graph of the number of car’s made per hour. What is the slope of the line?

Answers

Answer:

im not sure if this is right or not but i did the math and got 26

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

help asap plsplspls! :)

Answers

Answer:

-17 1/8

Step-by-step explanation:

Since there is a negative, we put a negative in front, and 125 divided by 1000 is 1/8.

-17 1/8.
.125 is equivalent to 1/8. Therefore, -17 to it makes -17 1/8

where is the point 7-10 located in the coordinate plane ?

Answers

Answer:

B) In Quadrant IV

Step-by-step explanation:

You move 7 units to the right on the x-axis. Then you move 10 units down the y-axis. The point will then land on quadrant IV.

Answer: In quadrant IV

Step-by-step explanation:

You move 7 units to the right on the x-axis. Then you move 10 units down the y-axis the point will then be on quadrant IV

Part 4 and 5. Last one is coming after i post this one.

Answers

Y=15x for the first and answer C for the second
the answer is c for the second one i’m pretty sure

HELP will mark brainliest

Answers

Answer:

Kite and parallelogram

Step-by-step explanation:

The solution is where it is crossing. Whenever blue cross red, the shape there is correct. So the kite and the parallelogram.

Hope this helps plz mark brainliest :D

Que nùmero multiplicado por 9,000=1,800,000​

Answers

Answer:

200

Step-by-step explanation:

1,800,000/9,000 = 200

Para confirmar:

200 x 9,000 = 1,800,000

Equation for point slope
Slope=-6 and (1,8)is on the line

Answers

Answer:

y= -6x +14

y -y1 = m(x-x1)

Step-by-step explanation:

Pls help me with this

Answers

Answer:

1st one is positive

2nd one is negative

3rd one is negative

4th one is positive

Step-by-step explanation:

find the area of triangle ABC

Answers

Answer:

Not enough information to answer

Step-by-step explanation:

So you know for strangers to answer your tough questions, your gonna have to include a picture :)

thanks.

2 ln x2 = 8
Solve for x

Answers

Answer:

X=4

Step-by-step explanation:

2x4=8 or 8/2

PLEASE HELP!!! URGENT!!!​

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

Area of square = 36cm^2

Area of each rectangle = 1 1/3 of 36cm^2

= 4/3 × 36 = 4 × 12 = 48cm^2.

By inspection one can see that the magnitude of the dimensions of the square is common for all the rectangle as their width (base).

But Area of a square = side squared (s^2)

so we have: 36 = s^2

taking the square root of both sides:

we have:. s = 6cm.

hence each rectangle has a width of 6cm.

But Area of a rectangle = L × W

48 = L × 6

48 = 6L

L = 8cm

hence each rectangle has a length of 8 cm.

perimeter of outward dimensions of each rectangle = L + L + W = 2L + W

since the rectangles are four in number;

the perimeter of the area shaped pattern

= 4(2L + W)

= 4(2(8) + 6)

= 4(24) = 96cm.

bro i will literally give u the brainliest for these

For each graph, describe the composition of transformations that maps ADEF
to ALMN.

Answers

Answer:

From the figure, it can be seen that ΔJ'K'L' is formed from ΔJKL by the rotation of ΔJKL by 90 degrees counter-clockwise.

It can also be seen that ΔJ"K"L" is obtained from ΔJ'K'L' by the refrection of ΔJ'K'L' across the x-axis.

Therefore, the rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is given by

Step-by-step explanation:

Was this answer calculated by multiplying the fractions?

Answers

need more info dude

which polynomial expression represents the perimeter of the rectangle? (3a + 4) (2a - 1)​

Answers

Answer:

10a + 6

Step-by-step explanation:

3a + 4 + 2a - 1

5a + 3

2( 5a + 3)

10a + 6

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