Question

Solve this system by substitution.
Y=-8x-23
Y=-5x-14

Answer 1

y = -8x - 23
y = -5x - 14
2y = -13x - 37
2y = -13x - 37
2 2
y = 6 1/2x - 18 1/2
6 1/2x - 18 1/2 = -5x - 14
+5x +5x
11 1/2x - 18 1/2 = -14
+18 +18
11 1/2x = 4
11 1/2x = 4
11 1/2 11 1/2
x = 8/23
y = -5(8/23) - 14
y = -1 17/23 - 14
y= -15 17/23
(x, y) = (8/23, -15 17/23)

Answer 2

`set\ them\ equal\ to\ each\ other \\ -8x-23=-5x-14 \\ -3x-23=-14 \\ -3x=9 \\ x= (9)/(-3) \\ x=-3 \\ \\ plug\ in\ OG\ equation \\ y=-8x-23 \\ y=-8(-3)-23 \\ y=24-23 \\ y=1 \\ \\ \boxed {(-3,1)}`