Solve for x
x=\frac{4-3y}{5}
Solve for y
y=\frac{4-5x}{3}
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6x-8+3y-x=-4
Subtract x from both sides.
5x-8+3y=-4
Combine 6x and -x to get 5x.
5x+3y=-4+8
Add 8 to both sides.
5x+3y=4
Add -4 and 8 to get 4.
5x=4-3y
Subtract 3y from both sides.
\frac{5x}{5}=\frac{4-3y}{5}
Divide both sides by 5.
x=\frac{4-3y}{5}
Dividing by 5 undoes the multiplication by 5.
-8+3y=x-4-6x
Subtract 6x from both sides.
-8+3y=-5x-4
Combine x and -6x to get -5x.
3y=-5x-4+8
Add 8 to both sides.
3y=-5x+4
Add -4 and 8 to get 4.
3y=4-5x
The equation is in standard form.
\frac{3y}{3}=\frac{4-5x}{3}
Divide both sides by 3.
y=\frac{4-5x}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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Limits
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