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