Solve for x
x=\frac{x_{2}}{4}-\frac{y}{20}+\frac{3}{4}
Solve for x_2
x_{2}=\frac{20x+y-15}{5}
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y=5x_{2}-20x+15
Use the distributive property to multiply x_{2}-4x+3 by 5.
5x_{2}-20x+15=y
Swap sides so that all variable terms are on the left hand side.
-20x+15=y-5x_{2}
Subtract 5x_{2} from both sides.
-20x=y-5x_{2}-15
Subtract 15 from both sides.
-20x=-5x_{2}+y-15
The equation is in standard form.
\frac{-20x}{-20}=\frac{-5x_{2}+y-15}{-20}
Divide both sides by -20.
x=\frac{-5x_{2}+y-15}{-20}
Dividing by -20 undoes the multiplication by -20.
x=\frac{x_{2}}{4}-\frac{y}{20}+\frac{3}{4}
Divide y-5x_{2}-15 by -20.
y=5x_{2}-20x+15
Use the distributive property to multiply x_{2}-4x+3 by 5.
5x_{2}-20x+15=y
Swap sides so that all variable terms are on the left hand side.
5x_{2}+15=y+20x
Add 20x to both sides.
5x_{2}=y+20x-15
Subtract 15 from both sides.
5x_{2}=20x+y-15
The equation is in standard form.
\frac{5x_{2}}{5}=\frac{20x+y-15}{5}
Divide both sides by 5.
x_{2}=\frac{20x+y-15}{5}
Dividing by 5 undoes the multiplication by 5.
x_{2}=\frac{y}{5}+4x-3
Divide y+20x-15 by 5.
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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.
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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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