Solve for x
x=\frac{7y}{2}-5
Solve for y
y=\frac{2\left(x+5\right)}{7}
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2x-4=\left(3\times 2+1\right)\left(y-2\right)
Multiply both sides of the equation by 2.
2x-4=\left(6+1\right)\left(y-2\right)
Multiply 3 and 2 to get 6.
2x-4=7\left(y-2\right)
Add 6 and 1 to get 7.
2x-4=7y-14
Use the distributive property to multiply 7 by y-2.
2x=7y-14+4
Add 4 to both sides.
2x=7y-10
Add -14 and 4 to get -10.
\frac{2x}{2}=\frac{7y-10}{2}
Divide both sides by 2.
x=\frac{7y-10}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{7y}{2}-5
Divide 7y-10 by 2.
2x-4=\left(3\times 2+1\right)\left(y-2\right)
Multiply both sides of the equation by 2.
2x-4=\left(6+1\right)\left(y-2\right)
Multiply 3 and 2 to get 6.
2x-4=7\left(y-2\right)
Add 6 and 1 to get 7.
2x-4=7y-14
Use the distributive property to multiply 7 by y-2.
7y-14=2x-4
Swap sides so that all variable terms are on the left hand side.
7y=2x-4+14
Add 14 to both sides.
7y=2x+10
Add -4 and 14 to get 10.
\frac{7y}{7}=\frac{2x+10}{7}
Divide both sides by 7.
y=\frac{2x+10}{7}
Dividing by 7 undoes the multiplication by 7.
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}