Solve for x
x = \frac{112}{11} = 10\frac{2}{11} \approx 10.181818182
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2\left(3x-1\right)+5\left(x-2\right)-100=0
Multiply both sides of the equation by 10, the least common multiple of 5,2.
6x-2+5\left(x-2\right)-100=0
Use the distributive property to multiply 2 by 3x-1.
6x-2+5x-10-100=0
Use the distributive property to multiply 5 by x-2.
11x-2-10-100=0
Combine 6x and 5x to get 11x.
11x-12-100=0
Subtract 10 from -2 to get -12.
11x-112=0
Subtract 100 from -12 to get -112.
11x=112
Add 112 to both sides. Anything plus zero gives itself.
x=\frac{112}{11}
Divide both sides by 11.
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y = 3x + 4
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Matrix
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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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