SOLUTION: Solve each system of linear equations by using substitution. {3/5x-2y=5} All in one question {x=4/5y+2}

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Question 110549This question is from textbook Algebra 1 Holt, Rinehart, and Winston
: Solve each system of linear equations by using substitution.
{3/5x-2y=5} All in one question
{x=4/5y+2} This question is from textbook Algebra 1 Holt, Rinehart, and Winston

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2F5-2y=5
But, x=4y%2F5%2B2. So,
3%284y%2F5%2B2%29%2F5-2y=5
%2812y%2F5%2B6%29%2F5-2y=5
5%28%2812y%2F5%2B6%29%2F5-2y%29=5%2A5
%2812y%2F5%2B6%29-10y=25
5%28%2812y%2F5%2B6%29-10y%29=5%2A25
12y%2B30-50y=125
12y-50y%2B30=125
-38y%2B30=125
-38y%2B30-30=125-30
-38y%2B0=95
-38y=95
y=-5%2F2

again, x=4%2F5y%2B2. So,
x=4%28-5%2F2%29%2F5%2B2=-10%2F5%2B2=-2%2B2=0

Thus,
x=0 and y=-5%2F2

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HyperBrain!