Solve for x
x=\frac{19-6y}{5}
Solve for y
y=\frac{19-5x}{6}
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5x+6y-15=4
Use the distributive property to multiply 3 by 2y-5.
5x-15=4-6y
Subtract 6y from both sides.
5x=4-6y+15
Add 15 to both sides.
5x=19-6y
Add 4 and 15 to get 19.
\frac{5x}{5}=\frac{19-6y}{5}
Divide both sides by 5.
x=\frac{19-6y}{5}
Dividing by 5 undoes the multiplication by 5.
5x+6y-15=4
Use the distributive property to multiply 3 by 2y-5.
6y-15=4-5x
Subtract 5x from both sides.
6y=4-5x+15
Add 15 to both sides.
6y=19-5x
Add 4 and 15 to get 19.
\frac{6y}{6}=\frac{19-5x}{6}
Divide both sides by 6.
y=\frac{19-5x}{6}
Dividing by 6 undoes the multiplication by 6.
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}