SOLUTION: 2x+3y= 12 and x+y=4 answer (0,4) need a break down of how my text book got this answer

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Question 187388: 2x+3y= 12 and x+y=4

answer (0,4)
need a break down of how my text book got this answer
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!


Givensystem%282x%2B3y=+12%28EQN1%29%2Cx%2By=4%28EQN2%29%29+
In EQN 2 we get--->y=4-x, EQN 3, which we subst. in EQN 1:
2x%2B3%28highlight%284-x%29%29=12
2x%2B12-3x=12---->3x-2x=12-12---->red%28x=0%29
Substitute x=0 in EQN 3:
y=4-0----->red%28y=4%29
There you go, Point of Intersection (0,4).
See graph to verify:
drawing%28400%2C400%2C-8%2C8%2C-8%2C8%2Cgrid%281%29%2Cgraph%28400%2C400%2C-8%2C8%2C-8%2C8%2C4-%282%2F3%29x%2C4-x%29%2Cblue%28circle%280%2C4%2C.12%29%29%29---> RED Line (EQN 1); GREEN Line (EQN 2)
Thank you,
Jojo