Question 60176: Can someone help me.
I need to solve the system by addition or substitution:
3x - 4y = 8
6x - 2y = 10
Thanks,
Lisa
Answer by chitra(359)  (Show Source):
You can put this solution on YOUR website! Hello Lisa,
The given system of equations are :
3x - 4y = 8 ------------ (1)
6x - 2y = 10 ------------ (2)
To solve them by addition or subtraction, we equalise any one of the terms. That is either the x or the y.
So, we multiply equation (2) by 2 and subtract equation (1) from (2).
12x - 4y = 20
3x - 4y = 8
- + -
---------------
9x = 12
==> x = 4/3
Plugging this value in one of the above equation, we get the value of y.
3x - 4y = 8
3(4/3) - 4y = 8
4 - 4y = 8
4 - 8 = 4y
-4 = 4y
This implies y = -1
Hence, the answer.
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