Question

Given the system of equations, what is the solution?

3x - 2y + 10 = 0

5y = 4x + 8
{(-34/7, -16/7)}
{(-34/7, 16/7)}
{(34/7, -16/7)}

Answer 1

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

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 =
`(-34)/(7)`

Plugin x value into either equation to solve for y.

2y = (3 ×
`(-34)/(7)`) + 10

2y =
`(-106)/(7)` + 10

2y =
`(-32)/(7)`

y =
`(-16)/(7)`