solve by elimination 4x - 5y = -6 3x + 2y = 8

Answer 1

4x -5y = -6

3x+2y = 8

multiply the 1st equation by 2 and the 2nd by 5

15x+10y = 40

8x - 10y = -12

add the equations to eliminate y

23x = 28

x = 28/23

3x + 2y = 8

2y = 8 -3x = 8-3(28/23) = 8 - 84/23

y = 4 - 42/23 = 92/23 - 42/23 = 50/23

x = 28/23 = about 1.22

y = 50/23 = about 2.17

4x -5y = -6

4(1.22) -5(2.17) = 4.88 - 10.85 = -5.97 which is close to -6, a little off due to rounding approximations