44.6k views
3 votes
Solve the system of equation by substitution. y=-3x+20y=-2x+12

User Bohdan
by
3.3k points

1 Answer

4 votes

Answer:

x = 8

y = -4

Step-by-step explanation

Given the system of equations

y=-3x+20

y=-2x+12​

If y = y, then;

-3x + 20 = -2x + 12

Collect like terms

-3x+2x = 12-20

-x = -8

x = 8

Substitute x = 8 into any of the equation

From 1:

y = -3x+20

y = -3(8)+20

y = -24+20

y = -4

Hence the solution to the system of equation is (8, -4)

User JeffG
by
4.3k points