Question

2y - 5x = -2
3y + 2x = 35

Answer 1

x=4,y=9

Explanation:

We want to solve the equation:

`2y - 5x = - 2`

`3y + 2x = 35`

simultaneously.

Multiply the top equation by 3 and the bottom equation by 2 to get:

6y-15x=-6

6y+4x=70

Subtract the top equation from the bottom equation.

`4x - - 15x = 70 - - 6`

`19x = 76`

`x = (76)/(19)`

`x = 4`

We substitute x=4 into 2y-5x=-2 to get:

`2y - 5(4) = - 2`

`2y = - 2 + 20 = 18`

`y = (18)/(2) = 9`

Therefore the solution to the system is

(4,9)