Solve for x
x = \frac{11}{8} = 1\frac{3}{8} = 1.375
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2\left(5x-8\right)=9\left(2x-3\right)
Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 6\left(2x-3\right), the least common multiple of 6x-9,2.
10x-16=9\left(2x-3\right)
Use the distributive property to multiply 2 by 5x-8.
10x-16=18x-27
Use the distributive property to multiply 9 by 2x-3.
10x-16-18x=-27
Subtract 18x from both sides.
-8x-16=-27
Combine 10x and -18x to get -8x.
-8x=-27+16
Add 16 to both sides.
-8x=-11
Add -27 and 16 to get -11.
x=\frac{-11}{-8}
Divide both sides by -8.
x=\frac{11}{8}
Fraction \frac{-11}{-8} can be simplified to \frac{11}{8} by removing the negative sign from both the numerator and the denominator.
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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
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