Question

solve by the elimination method 5x-y=41 7y=5x-47

Answer 1

Are you familiar with the elimination method?

Answer 2

no

Answer 3

With the elimination method, you choose a variable to eliminate from your equations and then solve for the other variable. So for example pick one of your two variables to remove.

Answer 4

ok i choose to get rid of y what do i next

Answer 5

The x would be easier, but y works fine. So to eliminate the y, you need to add 7 times the first equation to your second equation.
7y = 5x -47
+ 7(5x -y) = 7(41)
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Answer 6

Because you can see when you add those two together you will have 0 y's left.

Answer 7

\[7y + 7(5x -y) = 5x - 47 + 287\]
\[\implies 7y + 35x - 7y = 5x +240\]
\[\implies 30x = 240\implies x = 8\]