Posted by **Chica** on Sunday, January 24, 2010 at 9:15pm.

Solve each linear system by substitution method.

x+2y=7

2x+4y=8

I'm getting stuck. Could some one explain the work out process and what the outcome means?

- algebra 1 -
**Reiny**, Sunday, January 24, 2010 at 10:02pm
change the first to x = 7 - 2y

sub that into the second

2x + 4y = 8

2(7-2y) + 4y = 8

14 - 4y + 4y = 8

14 = 8 ???? Wow

When this happens there is no solution

Looking at your equations more closely, ..

divide the second by 2 to get

x + 2y = 8 and the first said

x + 2y = 7 ... contradiction !

What you are looking at is really two straight lines that are parallel, they cannot intersect.

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