SOLUTION: how do you solve y=x-2 y=4x+1

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Question 126180: how do you solve y=x-2 y=4x+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve y=x-2 y=4x+1
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Here it is step-by-step, if you learn these, you will know.
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Since y = (x-2) we can substitute (x-2) for y in the 2nd equation and find x:
x - 2 = 4x + 1
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We want to do what is necessary to get x by itself on one side of the equation
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Subtract x from both sides
x -x - 2 = 4x -x + 1
-2 = 3x + 1
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Subtract 1 from both sides
-2 - 1 = 3x +1 -1
-3 = 3x
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We usually write it with x on the left:
3x = - 3
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Divide both sides by 3, that makes it 1x or we can just write x
x = -3%2F3
x = -1
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Use y = x - 2 to find y, substitute -1 for x
y = -1 - 2
y = -3
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Check solutions by substituting for x and y in the 2nd equation
y = 4x + 1
Substituting for x & y
-3 = 4(-1) + 1
-3 = -4 + 1
-3 = -3; Equal! so we know our solutions are correct
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Any questions?
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