## Algebra: A Combined Approach (4th Edition)

10x + 3y = -12 first equation 5x = -4y -16 second equation -10x = 8y +32 multiply both sides by -2 in the second equation -10x -8y = 32 subtract from - 8y both sides add the equations to eleminate x 10x + 3y = -12 - 10x - 8y = 32 ___________ -5y = 20 y = -4 divide both sides by -5 let y = -4 in first equation 10x + $3\times(-4)$ = -12 10x - 12 = -12 10x = 0 subtract from -12 both sides x = 0 divide both sides by 10