SOLUTION: how do it find the intersection of the lines x subscript 1 -5x subscript 2 =1 and 3x subscript 1 -7xsupscript 2 =5

SOLUTION: how do it find the intersection of the lines x subscript 1 -5x subscript 2 =1 and 3x subscript 1 -7xsupscript 2 =5

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Question 259757: how do it find the intersection of the lines x subscript 1 -5x subscript 2 =1 and 3x subscript 1 -7xsupscript 2 =5
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Instead of subscript 1 and 2, let's do this

It'll reduce the confusion, I think.
.
.
.
1.
2.
Use eq. 1 to solve for x in terms of y.

Now substitute into eq. 2 and solve for y.

Then use eq. 1 again,

Now we can re-name them back to the originals,

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