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1.
2.
3.
4.
5.
Arrange the equations with like terms
in columns
Multiply, if necessary, to create
opposite coefficients for one variable.
Add the equations.
Substitute the value to solve for the
other variable.
Check
2 x  2 y  8
2 x  2y  4
4x + 3y = 16
2x – 3y = 8
3x + 2y = 7
-3x + 4y = 5
2x – 3y = 4
-4x + 5y = -8
5x + 2y = 7
-4x + y = –16
2x + 3y = 1
4x – 2y = 10
Add/Subtract
Use elimination to solve each system of equations.
1. 6x + 5y = 4
2. 3m – 4n = -14
3. 3a + b = 1
6x – 7y = -20
3m + 2n = -2
a+b=3
4. -3x – 4y = -23 5. x – 3y = 11
-3x + y = 2
2x – 3y = 16
6. x – 2y = 6
x+y=3
7. 2a – 3b = -13
2a + 2b = 7
9. 5x – y = 6
5x + 2y = 3
8. 4x + 2y = 6
4x + 4y = 10
Multiply
Use elimination to solve each system of equations.
1. 2x + 3y = 6
2. 2m + 3n = 4
3. 3a - b = 2
x + 2y = 5
-m + 2n = 5
a + 2b = 3
4. 4x + 5y = 6
6x - 7y = -20
5. 4x – 3y = 22
2x – y = 10
7. 4x – y = 9
5x + 2y = 8
8. 4a – 3b = -8
2a + 2b = 3
6. 3x – 4y = -4
x + 3y = -10
9. 2x + 2y = 5
4x - 4y = 10
Practice
Worksheet