Solve for x
x=\frac{-8y-106}{45}
Solve for y
y=-\frac{45x}{8}-\frac{53}{4}
Graph
Share
Copied to clipboard
5\left(9x+20\right)+8y=-6
Multiply both sides of the equation by 2.
45x+100+8y=-6
Use the distributive property to multiply 5 by 9x+20.
45x+8y=-6-100
Subtract 100 from both sides.
45x+8y=-106
Subtract 100 from -6 to get -106.
45x=-106-8y
Subtract 8y from both sides.
45x=-8y-106
The equation is in standard form.
\frac{45x}{45}=\frac{-8y-106}{45}
Divide both sides by 45.
x=\frac{-8y-106}{45}
Dividing by 45 undoes the multiplication by 45.
5\left(9x+20\right)+8y=-6
Multiply both sides of the equation by 2.
45x+100+8y=-6
Use the distributive property to multiply 5 by 9x+20.
100+8y=-6-45x
Subtract 45x from both sides.
8y=-6-45x-100
Subtract 100 from both sides.
8y=-106-45x
Subtract 100 from -6 to get -106.
8y=-45x-106
The equation is in standard form.
\frac{8y}{8}=\frac{-45x-106}{8}
Divide both sides by 8.
y=\frac{-45x-106}{8}
Dividing by 8 undoes the multiplication by 8.
y=-\frac{45x}{8}-\frac{53}{4}
Divide -106-45x by 8.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}