Question

Solve the system y=x-3 y=-2x+3

Answer 1

(2,-1)

Explanation:

1.) y = x - 3

y = -2x + 3

2.) Multiply top equation by 2

2y = 2x - 6

y = -2x + 3

3.) Add equations

3y = -3

4.) Divide 3 from each side

y = -1

5.) Substitute -1 for y in second equation

-1 = -2x + 3

6.) Solve

-4 = -2x

x = 2

Therefore, (2, -1)

Answer 2

x = 2, y= -1 Or (2, -1)

Explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

Now solve for x

3x-3= 3

3x = 6

x=2

Now that we have x, we can plug it back into one of the original equations to get y

y= x-3

y= 2-3

y = -1

Finally, the solution to the system of equations is (2, -1).