solve by using elimination method 2x+y=7 and 3x+2y=12
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3x + 2y = 12 (equation 1)
2x + y = 7 (equation 2)
There are several ways you can calculate this. Below is only one of them:
Double everything in equation 2 to give 4x + 2y = 14
Subtract equation 1 from new equation 2 to give:
x = 2 (the y’s cancel each other)
Now use the value x = 2 to solve the original equations:
6 + 2y = 12 and
4 + y = 7
You will see that y = 3in both equations.
So the solution is: x=2. y=3
As an alternative method, you could have multiplied equation 1 by 2 and equation 2 by 3 to give the same x values, but that’s one extra calculation and unnecessary.
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