SOLVING SYSTEMS USING
ELIMINATION
6-3
Solve the linear system using elimination.
5x – 6y = -32
3x + 6y = 48
(2, 7)
Solve the linear system using elimination.
6x – 3y = 3
-6x + 5y = 3
(2, 3)
Solve the linear system using elimination.
2x + 3y = 11
-2x + 9y = 1
(4,1)
Solve the linear system using elimination.
2x + 5y = -22
10x + 3y = 22
(4,-6)
Solve the linear system using elimination.
-2x + 15y = -32
7x – 5y = 17
(1, -2)
Solve the linear system using elimination.
3x + 6y = -6
-5x – 2y = -14
(4, -3)
Solve the linear system using elimination.
4x + 2y = 14
7x – 3y = -8
(1, 5)
Solve the linear system using elimination.
15x + 3y = 9
10x + 7y = -4
(1, -2)
Solve the linear system using elimination.
3x + 5y = 10
5x + 7y = 10
(-5, 5)
Solve the linear system using elimination.
3x + 2y = 8
2y = 12 – 5x
(2, 1)
Solve the linear system using elimination.
2x + 5y = -11
3x – 11 = 5y
(0, -11/5)
Solve the linear system using elimination.
1. 3x – 4y = 7
2x + 4y = 8
2. 5m + 3n = 22
5m + 6n = 34
3. -6x + 5y = 4
3x + 4y = 11
4. 7p + 5q = 2
8p – 9q = 17
HOW TO SOLVE A LINEAR SYSTEM BY ELIMINATION
1. Make sure the equations are written in standard form
(Ax + By = C).
2. Multiply, if necessary, one or both equations by numbers to
get coefficients that are opposites for one of the variables.
3. Add the equations vertically from Step 2. Combining like
terms with opposite coefficients will eliminate one variable.
Solve for the remaining variable.
4. Substitute the value obtained from Step 3 into either of the
original equations and solve for the other variable.
5. Write solution as an ordered pair.