Solve for x
x=8y-20
Solve for y
y=\frac{x+20}{8}
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-2.5\times 8=x-8y
Multiply both sides by 8.
-20=x-8y
Multiply -2.5 and 8 to get -20.
x-8y=-20
Swap sides so that all variable terms are on the left hand side.
x=-20+8y
Add 8y to both sides.
-2.5\times 8=x-8y
Multiply both sides by 8.
-20=x-8y
Multiply -2.5 and 8 to get -20.
x-8y=-20
Swap sides so that all variable terms are on the left hand side.
-8y=-20-x
Subtract x from both sides.
-8y=-x-20
The equation is in standard form.
\frac{-8y}{-8}=\frac{-x-20}{-8}
Divide both sides by -8.
y=\frac{-x-20}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x}{8}+\frac{5}{2}
Divide -20-x by -8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}