Question

Solve the system of linear equations.
6x + 3y = 33
4x + y = 15

Answer 1

6x + 3y = 33
4x + y = 15<---changes to y=-4x+15

Substitute.
6x + 3(-4x + 15) = 33
6x -12x +45 = 33
Combine like terms
-6x + 45 = 33
Subtract 45 on both sides
-6x = -12
Divide by -6 on both sides
x = 2
Plug x back into one of the equations.
6(2) + 3y = 33
12 + 3y = 33
Subtract 12 on both sides
3y = 21
Divide by 3 on both sides
y = 7
(2,7) is your final answer.