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Question 432939: solve by subsitution method 2x+8y=6 4x+8y= -36
Answer by Lstark01(4)   (Show Source):
You can put this solution on YOUR website! 2x+8y=6 and 4x+8y= -36
Take the first equation and solve for x or y. I will solve for y.
2x+8y=6
-2x on both sides
8y = -2x+6
divide by 8 on both sides
y = -.25x + .75
Take this equation and substitute it in for y in the other equation and solve for x:
4x + 8(-.25x + .75) = -36
4x - 2x + 6 = -36 then simplify
2x + 6 = -36
-6 on both sides
2x = -42
divide by 2 on both sides
x = -21
Now place -21 in either equation and solve for y:
2(-21) + 8y = 6
-42 + 8y = 6
+ 42 on both sides
8y = 48
divide by 8 on both sides
y = 6
To check your work, put the values of x and y into either equation;
2(-21) + 8(6) = 6
-42 + 48 = 6
6 = 6
Your answer would be:
(-21,6)
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