SOLUTION: how do you solve and check the following problems using the substition method? x+3y=23 3x-2y=3

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Question 173839: how do you solve and check the following problems using the substition method?
x+3y=23
3x-2y=3
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B3y=23, EQN 1---> y=%2823-x%29%2F3=%28-1%2F3%29x%2B%2823%2F3%29
3x-2y=3, EQN 2---> y=%283x-3%29%2F2=%283%2F2%29x-%283%2F2%29
In EQN 1, we get
x=23-3y, EQN 3, subst. in EQN 2:
3%2823-3y%29-2y=3
69-9y-2y=3
69-3=9y%2B2y
66=11y------>cross%2866%296%2Fcross%2811%29=cross%2811%29y%2Fcross%2811%29
highlight%28y=6%29, subst. in EQN 3:
x=23-3%286%29=23-18
highlight%28x=5%29
We'll see the graph:
drawing%28300%2C300%2C-8%2C8%2C-8%2C12%2Cgrid%281%29%2Cgraph%28300%2C300%2C-8%2C8%2C-8%2C12%2C%28-1%2F3%29x%2B%2823%2F3%29%2C%283%2F2%29x-%283%2F2%29%29%2Cblue%28circle%285%2C6%2C.15%29%29%29 --> see point of intersection (5,6)
Thank you,
Jojo