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Solving System of Equations by Multiplication and then Addition or Subtraction




 


Objective: I know how to solve system of equations by multiplication and then addition or subtraction.


Sometimes, none of the coefficients of the variables are opposites or equal. However, it may be possible to multiply one of the equations with a number that will then make the coefficients of one of the variables opposites or equal. We can then add or subtract the equations to eliminate one of the variables.


Look up the lesson on Solving System of Equations if you need help on solving system of equations.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Solve each equation.

4x + 2y = - 38
16x + 4y = - 124
Answer: x = , y =


5x - 2y = 39
20x - 4y = 148
Answer: x = , y =


4x + 5y = 74
- 12x + 2y = - 52
Answer: x = , y =

5x + 4y = - 19
2x - 8y = - 46
Answer: x = , y =


4x - 3y = - 35
12x - 5y = - 69
Answer: x = , y =


3x + 3y = - 51
9x + 2y = - 97
Answer: x = , y =


- 4x + 2y = 4
- 2x + 4y = 26
Answer: x = , y =


5x + 2y = -1
3x + 4y = - 9
Answer: x = , y =


- 2x - 3y = - 5
- 3x - 9y = - 12
Answer: x = , y =


2x + 2y = 0
- 3x + 4y = - 14
Answer: x = , y =





We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

Do check out our Interactive Zone for many other types of free dynamic on-line math worksheets.

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