\frac { x } { y } = \frac { 4,5 } { 3 }
Solve for x
x=\frac{3y}{2}
y\neq 0
Solve for y
y=\frac{2x}{3}
x\neq 0
Graph
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3x=y\times 4,5
Multiply both sides of the equation by 3y, the least common multiple of y;3.
3x=\frac{9y}{2}
The equation is in standard form.
\frac{3x}{3}=\frac{9y}{2\times 3}
Divide both sides by 3.
x=\frac{9y}{2\times 3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{3y}{2}
Divide \frac{9y}{2} by 3.
3x=y\times 4,5
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3y, the least common multiple of y;3.
y\times 4,5=3x
Swap sides so that all variable terms are on the left hand side.
4,5y=3x
The equation is in standard form.
\frac{4,5y}{4,5}=\frac{3x}{4,5}
Divide both sides of the equation by 4,5, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{3x}{4,5}
Dividing by 4,5 undoes the multiplication by 4,5.
y=\frac{2x}{3}
Divide 3x by 4,5 by multiplying 3x by the reciprocal of 4,5.
y=\frac{2x}{3}\text{, }y\neq 0
Variable y cannot be equal to 0.
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Simultaneous equation
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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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