Solve for x
x=45y-27
y\neq \frac{3}{5}
Solve for y
y=\frac{x+27}{45}
x\neq 0
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4x=36\left(5y-3\right)
Multiply both sides of the equation by 5y-3.
4x=180y-108
Use the distributive property to multiply 36 by 5y-3.
\frac{4x}{4}=\frac{180y-108}{4}
Divide both sides by 4.
x=\frac{180y-108}{4}
Dividing by 4 undoes the multiplication by 4.
x=45y-27
Divide 180y-108 by 4.
4x=36\left(5y-3\right)
Variable y cannot be equal to \frac{3}{5} since division by zero is not defined. Multiply both sides of the equation by 5y-3.
4x=180y-108
Use the distributive property to multiply 36 by 5y-3.
180y-108=4x
Swap sides so that all variable terms are on the left hand side.
180y=4x+108
Add 108 to both sides.
\frac{180y}{180}=\frac{4x+108}{180}
Divide both sides by 180.
y=\frac{4x+108}{180}
Dividing by 180 undoes the multiplication by 180.
y=\frac{x}{45}+\frac{3}{5}
Divide 108+4x by 180.
y=\frac{x}{45}+\frac{3}{5}\text{, }y\neq \frac{3}{5}
Variable y cannot be equal to \frac{3}{5}.
Examples
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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