SOLUTION: Solve using the multiplication principle first. Then use the elimination method. 2x+y=13 4x+2y=23

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Question 374087: Solve using the multiplication principle first. Then use the elimination method.
2x+y=13
4x+2y=23
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
1) 2x+y=13
2) 4x+2y=23


Multiply equation 1 by 2.
2x+7y=13
2(2x+7y)=2(13)
4x+14y=26


Let the result of above be equation 3.
3) 4x+14y=26


Subtract equation 3 from 2.
4x+14y=26
-4x+ 2y=23
0x+12y=3


From there, solve for y.
12y=3
y=3%2F12
y=1%2F4


Substitute y=1%2F4 in equation 1 (any equation works here).
2x+y=13
2x+%281%2F4%29=13
2x=12-1%2F4
x=%2812-1%2F4%29%2F2
x=47%2F8
x=5.875