Question

5x + 2y = 7

y=x+1
What is the solution set of the given system?
{(5/7, 1217)
{(9/7,16/7)
{(1217,5/7)
{(16/7.9/7)]

Answer 1

{(5/7 , 12/7)}

Explanation:

First plug y into one of the x's

5x + 2(x + 1) = 7

Now solve for X

5x + 2x + 2 = 7

Combine like terms

7x + 2 = 7

Subtract 2 from each side

7x = 5

Divide to get x by itself

x = 5/7

Now plug that into the second equation for x

y = 5/7 + 1

now just solve it

y = 12/7 if they want it simplified then it's 1 5/7

Hope this helped!

Answer 2

(5/7, 12/7) <- I think you meant to type that. Its the first one

Explanation:

Step 1: Substitute y=x+1 in for y in 5x + 2y = 7

5x + 2(x+1) = 7

Step 2: Solve it

5x + 2x + 2 = 7

7x + 2 = 7

- 2 - 2

7x = 5

--- ---

7 7

x = 5/7

Step 3; Plug x into y=x+1

y = 5/7 + 1

y = 12/7