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So first, you can solve the second equation for x rather easily. Simply subtract 2y from both sides and you have x isolated. Then, substitute x = 7-2y into the first equation. Then you will have an equation that is JUST in terms of y and you can solve for y. Once you find y, plug in it's value into either of the original equations and solve for x.
can you put that in numbers for me ? cos im a slow person .
x = 7-2y
This implies that
3(7-2y) + 2y = 13
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21 - 4y + 2y = 13
Now you can solve for y. Once you have y, x is a synch.
Actually, the method I used was back substitution. If you want to solve using elimination, you have to add multiples of equations to cancel out variables. If you call the first equation A and the second equation B, then to get rid of x you would do the following:
A - 3B
Which would yield
(3x + 2y) - 3(x+2y) = 13 - 3*7
In that case, you "eliminate" x and then just have an equation in terms of y.
Perhaps it's easier to eliminate y first. In that case, you would simply do the following
Which would yield
(3x+2y) - (x+2y) = 13 - 7
In THIS case, you will end out with an equation that ONLY has x in it. Therefore, you will be able to solve for x.
So, the idea with elimination is that you can add and subtract full equations like I showed previously. You always want to add or subtract the equations so that you "eliminate" one variable to make the equation easy to solve.