SOLUTION: solve the system by addition or substitution -15x+3y=6 y=2+5x

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Question 107694: solve the system by addition or substitution
-15x+3y=6
y=2+5x
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
You gave these info:

-15x%2B3y=6 and y=2%2B5x

In -15x%2B3y=6, there are two variable available on the left-hand side---x and y.

While on y=2%2B5x, There's just one variable(y) on the left-hand side...

If we substitute y=2%2B5x to -15x%2B3y=6,

THe equation obtained is...
-15x%2B3%282%2B5x%29=6
-15x%2B%283%2A2%2B3%2A5x%29=6
-15x%2B%289%2B15x%29=6
-15x%2B%2815x%2B9%29=6
-15x%2B15x%2B9=6
%28-15x%2B15x%29%2B9=6
0%2B9=6
9=6 What?!?!?


The equations produced a FALSe statement (we all know that 9 can NEVER be equal to 6). Therefore, there is no solution.

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HyperBrain!