Solve for x
x=y+3
y\neq 0
Solve for y
y=x-3
x\neq 3
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3\left(x-3\right)=y\times 3
Multiply both sides of the equation by 3y, the least common multiple of y-0,3.
3x-9=y\times 3
Use the distributive property to multiply 3 by x-3.
3x=y\times 3+9
Add 9 to both sides.
3x=3y+9
The equation is in standard form.
\frac{3x}{3}=\frac{3y+9}{3}
Divide both sides by 3.
x=\frac{3y+9}{3}
Dividing by 3 undoes the multiplication by 3.
x=y+3
Divide 9+3y by 3.
3\left(x-3\right)=y\times 3
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3y, the least common multiple of y-0,3.
3x-9=y\times 3
Use the distributive property to multiply 3 by x-3.
y\times 3=3x-9
Swap sides so that all variable terms are on the left hand side.
3y=3x-9
The equation is in standard form.
\frac{3y}{3}=\frac{3x-9}{3}
Divide both sides by 3.
y=\frac{3x-9}{3}
Dividing by 3 undoes the multiplication by 3.
y=x-3
Divide -9+3x by 3.
y=x-3\text{, }y\neq 0
Variable y cannot be equal to 0.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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