Solve for x
x=-3
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45-3\left(10x-3\right)-9\left(1-x\right)=2\left(42-4x\right)
Multiply both sides of the equation by 36, the least common multiple of 4,12,18.
45-30x+9-9\left(1-x\right)=2\left(42-4x\right)
Use the distributive property to multiply -3 by 10x-3.
54-30x-9\left(1-x\right)=2\left(42-4x\right)
Add 45 and 9 to get 54.
54-30x-9+9x=2\left(42-4x\right)
Use the distributive property to multiply -9 by 1-x.
45-30x+9x=2\left(42-4x\right)
Subtract 9 from 54 to get 45.
45-21x=2\left(42-4x\right)
Combine -30x and 9x to get -21x.
45-21x=84-8x
Use the distributive property to multiply 2 by 42-4x.
45-21x+8x=84
Add 8x to both sides.
45-13x=84
Combine -21x and 8x to get -13x.
-13x=84-45
Subtract 45 from both sides.
-13x=39
Subtract 45 from 84 to get 39.
x=\frac{39}{-13}
Divide both sides by -13.
x=-3
Divide 39 by -13 to get -3.
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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