Y=-x+1

23 = 5y - 4x

How do I find x and y by using substitution?

final answer x = - 2, y=3

Step-by-step explanation:

y = - x + 1 (1)

23=5y-4x - -> 5y=4x+23 (2)

Substitute (1) into (2)

5 (-x+1) = 4x+23

-5x+5=4x+23

-5x-4x=23-5

-9x=18

x=-2

substitute x=2 into (1) y = - (-2) + 1, y=3

x = - 2 y = 3

Step-by-step explanation:

Equation 1: y = - x + 1

Equation 2: 23 = 5y - 4x

Take and plug in what y equals (from equation 1) into equation 2

23 = 5 (-x+1) - 4x

23 = - 5x + 5 - 4x

23 = - 9x + 5

18 = - 9x

x = - 2

Then plug the - 2 in to the first equation for x

y = - (-2) + 1

y = 2 + 1

y = 3