Solve for y
y = -\frac{5}{2} = -2\frac{1}{2} = -2.5
Solve for x (complex solution)
x\in \mathrm{C}
y = -\frac{5}{2} = -2\frac{1}{2} = -2.5
Solve for x
x\in \mathrm{R}
y = -\frac{5}{2} = -2\frac{1}{2} = -2.5
Share
Copied to clipboard
-2y+3z-7-4y-3z=8
Combine x and -x to get 0.
-6y+3z-7-3z=8
Combine -2y and -4y to get -6y.
-6y-7=8
Combine 3z and -3z to get 0.
-6y=8+7
Add 7 to both sides.
-6y=15
Add 8 and 7 to get 15.
y=\frac{15}{-6}
Divide both sides by -6.
y=-\frac{5}{2}
Reduce the fraction \frac{15}{-6} to lowest terms by extracting and canceling out 3.
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}