Solve for Y
Y=-\frac{5x}{2}+5
Solve for x
x=-\frac{2Y}{5}+2
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5x+2Y=10
Multiply both sides of the equation by 10, the least common multiple of 2,5.
2Y=10-5x
Subtract 5x from both sides.
\frac{2Y}{2}=\frac{10-5x}{2}
Divide both sides by 2.
Y=\frac{10-5x}{2}
Dividing by 2 undoes the multiplication by 2.
Y=-\frac{5x}{2}+5
Divide 10-5x by 2.
5x+2Y=10
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5x=10-2Y
Subtract 2Y from both sides.
\frac{5x}{5}=\frac{10-2Y}{5}
Divide both sides by 5.
x=\frac{10-2Y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{2Y}{5}+2
Divide 10-2Y by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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\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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