Solve for x
x=-6y-5
Solve for y
y=\frac{-x-5}{6}
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6\left(y+2\right)=-\left(x-7\right)
Multiply both sides of the equation by 12, the least common multiple of 2,-12.
6y+12=-\left(x-7\right)
Use the distributive property to multiply 6 by y+2.
6y+12=-x+7
To find the opposite of x-7, find the opposite of each term.
-x+7=6y+12
Swap sides so that all variable terms are on the left hand side.
-x=6y+12-7
Subtract 7 from both sides.
-x=6y+5
Subtract 7 from 12 to get 5.
\frac{-x}{-1}=\frac{6y+5}{-1}
Divide both sides by -1.
x=\frac{6y+5}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-6y-5
Divide 6y+5 by -1.
6\left(y+2\right)=-\left(x-7\right)
Multiply both sides of the equation by 12, the least common multiple of 2,-12.
6y+12=-\left(x-7\right)
Use the distributive property to multiply 6 by y+2.
6y+12=-x+7
To find the opposite of x-7, find the opposite of each term.
6y=-x+7-12
Subtract 12 from both sides.
6y=-x-5
Subtract 12 from 7 to get -5.
\frac{6y}{6}=\frac{-x-5}{6}
Divide both sides by 6.
y=\frac{-x-5}{6}
Dividing by 6 undoes the multiplication by 6.
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Integration
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Limits
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