Question

Given the system of equations, what is the solution?

Answer 1

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = $\frac{-34}{7}$

Plugin x value into either equation to solve for y.

2y = (3 × $\frac{-34}{7}$) + 10

2y =  $\frac{-106}{7}$ + 10

2y = $\frac{-32}{7}$

y = $\frac{-16}{7}$