Solve for y
y=-3z
Solve for z
z=-\frac{y}{3}
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3y=4y+3z
Subtract 2 from 2 to get 0.
3y-4y=3z
Subtract 4y from both sides.
-y=3z
Combine 3y and -4y to get -y.
\frac{-y}{-1}=\frac{3z}{-1}
Divide both sides by -1.
y=\frac{3z}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-3z
Divide 3z by -1.
3y=4y+3z
Subtract 2 from 2 to get 0.
4y+3z=3y
Swap sides so that all variable terms are on the left hand side.
3z=3y-4y
Subtract 4y from both sides.
3z=-y
Combine 3y and -4y to get -y.
\frac{3z}{3}=-\frac{y}{3}
Divide both sides by 3.
z=-\frac{y}{3}
Dividing by 3 undoes the multiplication by 3.
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
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