Ifx + 2y = 8 and – 2x + 3y = 5, then what is the value of 2x + 3y? Question Ifx + 2y = 8 and – 2x + 3y = 5, then what is the value of 2x + 3y? in progress 0 Math Emery 11 hours 2021-11-25T12:03:09+00:00 2021-11-25T12:03:09+00:00 1 Answer 0 views 0

## Answers ( )

Answer:13

Step-by-step explanation:Given the 2 equations

x + 2y = 8 → (1)

– 2x + 3y = 5 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 8 – 2y → (3)

Substitute x = 8 – 2y into (2)

– 2(8 – 2y) + 3y = 5 ← distribute and simplify left side

– 16 + 4y + 3y = 5

– 16 + 7y = 5 ( add 16 to both sides )

7y = 21 ( divide both sides by 7 )

y = 3

Substitute y = 3 in (3) for corresponding value of x

x = 8 – 2(3) = 8 – 6 = 2

Thus x = 2 and y = 3

2x + 3y = 2(2) + 3(3) = 4 + 9 = 13