Solve for x
x = \frac{16}{11} = 1\frac{5}{11} \approx 1.454545455
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2x-4-3=9\left(1-x\right)
Use the distributive property to multiply 2 by x-2.
2x-7=9\left(1-x\right)
Subtract 3 from -4 to get -7.
2x-7=9-9x
Use the distributive property to multiply 9 by 1-x.
2x-7+9x=9
Add 9x to both sides.
11x-7=9
Combine 2x and 9x to get 11x.
11x=9+7
Add 7 to both sides.
11x=16
Add 9 and 7 to get 16.
x=\frac{16}{11}
Divide both sides by 11.
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y = 3x + 4
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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}