***VERY IMPORTANT SLIDE***
I can combine 2 linear equations if the coefficients are not opposites.
Solve by elimination:
3x+7y=23
-3x-7y=-17
Solve using elimination.
4x + 8y = 20
-4x + 2y = -30
For the following equations, which coefficients would be easier to make opposites?
2x + 3y = 12
4x - 7y = - 54
Let's multiply the top equation by -2. What would be our new equation?
2x + 3y = 12
4x - 7y = - 54
Now, our equations will look like this
-4x - 6y = -24
4x - 7y = - 54
Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?
Let's solve for y.
-13y = -78
Now, let's find the solution to the system.
2x + 3y = 12
4x - 7y = - 54
Your Turn:
Solve by elimination
2x + 9y = -7
6x - 3y = 9