SOLUTION: What is the steps and solution to Top: x+2y=7 Bottom: 2x-3y=-21 using the Elimination method?

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Question 182658: What is the steps and solution to Top: x+2y=7 Bottom: 2x-3y=-21 using the Elimination method?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Top: x%2B2y=7; Bottom: 2x-3y=-21
Multiply "Top" by 2 and subtract to "Bottom":
(x+2y=7)(2)--->2x%2B4y=14
2x+4y=14
-(2x-3y=-21) *remember to change signs
------------
7y=35+----->cross%287%29y%2Fcross%287%29=cross%2835%295%2Fcross%287%29
highlight%28y=5%29 subst. to "Top":
x%2B2%2A5=7
x=7-10=-3
highlight%28x=-3%29
It shows, the "top" and "Bottom" will meet at point (-3,5):
---> RED Line >>>> "Top"; GREEN Line >>> "Bottom"
Thank you,
Jojo