Solve for x
x=\frac{y-13}{4}
Solve for y
y=4x+13
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y-5=4x+8
Use the distributive property to multiply 4 by x+2.
4x+8=y-5
Swap sides so that all variable terms are on the left hand side.
4x=y-5-8
Subtract 8 from both sides.
4x=y-13
Subtract 8 from -5 to get -13.
\frac{4x}{4}=\frac{y-13}{4}
Divide both sides by 4.
x=\frac{y-13}{4}
Dividing by 4 undoes the multiplication by 4.
y-5=4x+8
Use the distributive property to multiply 4 by x+2.
y=4x+8+5
Add 5 to both sides.
y=4x+13
Add 8 and 5 to get 13.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\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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