Solve for x
x=-\frac{y}{10}-\frac{7}{5}
Solve for y
y=-10x-14
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1-y-10x-15=0
Multiply both sides of the equation by 5.
-14-y-10x=0
Subtract 15 from 1 to get -14.
-y-10x=14
Add 14 to both sides. Anything plus zero gives itself.
-10x=14+y
Add y to both sides.
-10x=y+14
The equation is in standard form.
\frac{-10x}{-10}=\frac{y+14}{-10}
Divide both sides by -10.
x=\frac{y+14}{-10}
Dividing by -10 undoes the multiplication by -10.
x=-\frac{y}{10}-\frac{7}{5}
Divide 14+y by -10.
1-y-10x-15=0
Multiply both sides of the equation by 5.
-14-y-10x=0
Subtract 15 from 1 to get -14.
-y-10x=14
Add 14 to both sides. Anything plus zero gives itself.
-y=14+10x
Add 10x to both sides.
-y=10x+14
The equation is in standard form.
\frac{-y}{-1}=\frac{10x+14}{-1}
Divide both sides by -1.
y=\frac{10x+14}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-10x-14
Divide 14+10x by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}