5 y - 6 = 3 ( x + 1
Solve for x
x=\frac{5y}{3}-3
Solve for y
y=\frac{3\left(x+3\right)}{5}
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5y-6=3x+3
Use the distributive property to multiply 3 by x+1.
3x+3=5y-6
Swap sides so that all variable terms are on the left hand side.
3x=5y-6-3
Subtract 3 from both sides.
3x=5y-9
Subtract 3 from -6 to get -9.
\frac{3x}{3}=\frac{5y-9}{3}
Divide both sides by 3.
x=\frac{5y-9}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{5y}{3}-3
Divide 5y-9 by 3.
5y-6=3x+3
Use the distributive property to multiply 3 by x+1.
5y=3x+3+6
Add 6 to both sides.
5y=3x+9
Add 3 and 6 to get 9.
\frac{5y}{5}=\frac{3x+9}{5}
Divide both sides by 5.
y=\frac{3x+9}{5}
Dividing by 5 undoes the multiplication by 5.
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Limits
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