SOLUTION: Solve the system by addition. 4x – 6y = –1 8x + 3y = 3

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Question 108315: Solve the system by addition.
4x – 6y = –1
8x + 3y = 3
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
4x – 6y = –1
8x + 3y = 3

Multiplying 8x%2B3y=3 by 2,

16x%2B6y=6

Adding 16x%2B6y=6 to 4x-6y=-1,

~~~~~~~~~~~~~~~~~~~~~~~~~~~~16x+6y=6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 4x-6y=-1
______________________________________
~~~~~~~~~~~~~~~~~~~~~~~~~~~~20x =5

20x=5
x=5%2F20=1%2F4

Solving for y,
4x-6y=-1
4%281%2F4%29-6y=-1
1-6y=-1
-6y=-2
y=1%2F3

Thus, x=1%2F4 and y=1%2F3

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HyperBrain!