Solve for x
x=-\frac{5}{7}\approx -0.714285714
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3\left(3-x\right)-2\left(4+2x\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9-3x-2\left(4+2x\right)=6
Use the distributive property to multiply 3 by 3-x.
9-3x-8-4x=6
Use the distributive property to multiply -2 by 4+2x.
1-3x-4x=6
Subtract 8 from 9 to get 1.
1-7x=6
Combine -3x and -4x to get -7x.
-7x=6-1
Subtract 1 from both sides.
-7x=5
Subtract 1 from 6 to get 5.
x=\frac{5}{-7}
Divide both sides by -7.
x=-\frac{5}{7}
Fraction \frac{5}{-7} can be rewritten as -\frac{5}{7} by extracting the negative sign.
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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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