SOLUTION: How to solve for y and x using substitution and with y=x+(-1) and y=-4x+14

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Question 665656: How to solve for y and x using substitution and with y=x+(-1) and y=-4x+14
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
y = x + -1
y =-4x + 14
...
Rearrange the first equation as, x = y + 1
Substitute it into the second equation
y = -4(y+1) + 14
y = -4y - 4 + 14
Isolate y on one side
y + 4y = -4 + 14
Combine like terms
5y = 10
Divide both sides by 5
highlight%28y+=+2%29
...
To solve for x, set both of the equations equal to each other
x + (-1) = -4x +14
Combine like terms
x + 4x = 14 + 1
5x = 15
Divide both sides by 5
highlight%28x+=+3%29
...
Check cartoon%28%0D%0A2+=+3+%2B+%28-1%29%2C%0D%0A2+=+2%29
cartoon%28%0D%0A2+=+-4%283%29+%2B+14%2C%0D%0A2+=+-12+%2B+14%2C%0D%0A2+=+2%29
......................
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