SOLUTION: 3x+6y=6 2x-3y=4

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Question 178793This question is from textbook Algebra 1
: 3x+6y=6
2x-3y=4 This question is from textbook Algebra 1

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Line eqns:system%283x%2B6y=6%28EQN1%29%2C2x-3y=4%28EQN2%29%29
In EQN 1 we get,
6y=6-3x----->cross%286%29y%2Fcross%286%29=%286-3x%29%2F6
y=6%2F6-3x%2F6=1-%281%2F2%29x, subst. in EQN 2:
2x-3%281-%281%2F2%29x%29=4
2x-3%2B%283%2F2%29x=4
%284x%2B3x%29%2F2=4%2B3--->7x%2F2=7--->7x=14--->cross%287%29x%2Fcross%287%29=cross%2814%292%2Fcross%287%291
highlight%28x=2%29
subst. in EQN 1
3%282%29%2B6y=6
6y=6-6=0
highlight%28y=0%29
As we see the graph,
------> RED Line>>>EQN 1, GREEN Line>>>>EQN 2
Thank you,
Jojo