Question

Solve simultaneous Equation
2x+5y=0
3x-4y=23

Answer 1

x = 5, y = -2

Explanation:

Multiply the top equation by 4 and the bottom equation by 5:

`8x + 20y = 0`

`15x - 20y = 115`

Add these two equations to eliminate y, and then solve for x.

`23x = 115`

`x = 5`

Substitute 5 for x in 8x + 20y = 0, and then solve for y:

`8(5) + 20y = 0`

`40 + 20y = 0`

`20y = - 40`

`y = - 2`