LINEAR COMBINATION
| Solve the linear equation by using the linear combination method. | -2
+ 3y = 4 4x + 4y = 12 |
| STEP 1 Multiply the first equation by a number so that it allows you to cancel out a variable. In this example, you can multiply by 2. |
2(-2x + 3y = 4) -4x + 6y = 8 |
| STEP 2 Add the two equations to get a simpler equation. |
-4x + 6y = 8 4x + 4y = 12 10y = 20 |
| STEP 3 Solve for "y." |
(10y = 20)/10 y = 2 |
| STEP 4 Plug "y" into one of the original problems and solve for "x." |
-2x + 3(2) = 4 x = 1 |