Question

Solve using substitution. y = 3x - 5y = 2x - 2( _ , _ )

Answer 1

EXPLANATION

Given the equations:

(1) y = 3x - 5

(2) y = 2x - 2

Substituting (2) in (1):

3x - 5 = 2x - 2

Adding +5 to both sides:

3x - 5 + 5 = 2x - 2 + 5

Adding -2x to both sides:

3x - 5 + 5 -2x = 2x - 2x - 2 + 5

Simplifying:

x = 3

So, x=3

Now, substituting x=3 into y=3x-5:

y = 3*3 - 5 = 9 - 5 = 4

The solutions to the system of equations are:

(x,y)= (3,4)