SOLUTION: Solve each system using elimination. 3x+6y=42 -7x+8y= -109

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Question 713607: Solve each system using elimination.
3x+6y=42
-7x+8y= -109

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system using elimination.
3x + 6y = 42
-7x+ 8y = -109
:
First simplify the first equation, divide thru by 3
x + 2y = 14
Then multiply by 7 and add to the 2nd equation
7x + 14y = 98
-7x + 8y = -109
-------------------adding eliminates x, find y
0 + 22y = -11
y = -11/22
y = -1%2F2
:
Find x using x + 2y = 14
x + 2(-1/2) = 14
x - 1 = 14
x = 14 + 1
x = 15
:
:
Check solutions in the 2nd equation -7x + 8y = -109
-7(15) +8(-1/2) = -109
-105 - 4 = -109