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All you need to do on these is make the coefficient(number) of either variable the same, usually by multiplication, then add or subtract to eliminate that variable.

Using Y

As the coefficients of Y are the same, just add the equations:

3x - 2y = 11

x + 2y = 9

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4x + 0y = 20

4x = 20 , which means X = 5 and Y =2

Using X

3x - 2y = 11

x + 2y = 9

Multiply the second equation by 3 and subtract.

x + 2y = 9 becomes 3x + 6y = 27, and it is easiest to just subtract the first

3x + 6y = 27

- (3x - 2y = 11)

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0x +8y = 16

8y = 16 so Y = 2 and X = 5

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Q: How do you solve the following simultaneous equations by elimination 3x-2y equals 11 and X plus 2y equals 9?
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