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