Solve for x
x=\frac{4y-13}{3}
Solve for y
y=\frac{3x+13}{4}
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3x-3=4\left(y-4\right)
Use the distributive property to multiply 3 by x-1.
3x-3=4y-16
Use the distributive property to multiply 4 by y-4.
3x=4y-16+3
Add 3 to both sides.
3x=4y-13
Add -16 and 3 to get -13.
\frac{3x}{3}=\frac{4y-13}{3}
Divide both sides by 3.
x=\frac{4y-13}{3}
Dividing by 3 undoes the multiplication by 3.
3x-3=4\left(y-4\right)
Use the distributive property to multiply 3 by x-1.
3x-3=4y-16
Use the distributive property to multiply 4 by y-4.
4y-16=3x-3
Swap sides so that all variable terms are on the left hand side.
4y=3x-3+16
Add 16 to both sides.
4y=3x+13
Add -3 and 16 to get 13.
\frac{4y}{4}=\frac{3x+13}{4}
Divide both sides by 4.
y=\frac{3x+13}{4}
Dividing by 4 undoes the multiplication by 4.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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