Solve for x
x=2\left(y-4\right)
Solve for y
y=\frac{x+8}{2}
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8x-2\times 8y=-64
Multiply both sides of the equation by 4, the least common multiple of 4,2.
8x-16y=-64
Multiply -2 and 8 to get -16.
8x=-64+16y
Add 16y to both sides.
8x=16y-64
The equation is in standard form.
\frac{8x}{8}=\frac{16y-64}{8}
Divide both sides by 8.
x=\frac{16y-64}{8}
Dividing by 8 undoes the multiplication by 8.
x=2y-8
Divide -64+16y by 8.
8x-2\times 8y=-64
Multiply both sides of the equation by 4, the least common multiple of 4,2.
8x-16y=-64
Multiply -2 and 8 to get -16.
-16y=-64-8x
Subtract 8x from both sides.
-16y=-8x-64
The equation is in standard form.
\frac{-16y}{-16}=\frac{-8x-64}{-16}
Divide both sides by -16.
y=\frac{-8x-64}{-16}
Dividing by -16 undoes the multiplication by -16.
y=\frac{x}{2}+4
Divide -64-8x by -16.
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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