Question

Solve the system of equations by substitution:
y= 5x-7
-3x-2y=-12

Answer 1

(2,3) is your answer. If you were to graph both equations, this would be where they intersect, the one point that solves BOTH equations.

Explanation:

You can do it a number of ways, but the easiest would be by substitution. If two things are equal, we can swap one out for the other.

-3x - 2(5x - 7) = -12

-3x - 10x + 14 = -12

-13x = -26

x = 2

Aaaand, substitute again.

y = 5(2) - 7

y = 10 - 7

y = 3

Answer 2

x=2 and y= 3

Explanation:

y= 5x-7 (1)

-3x-2y= -12 (2)

sub (1) into (2):

-3x-2(5x-7)= -12

-3x-10x+14= -12

-13x= -26

x= 2 (3)

sub (3) into (1):

y= 5(2)-7

= 10-7

= 3