Solve for x
x=\frac{15y}{2}-6
Solve for y
y=\frac{2\left(x+6\right)}{15}
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-\frac{2}{3}x+7y-2y=4
Combine 5x and -\frac{17}{3}x to get -\frac{2}{3}x.
-\frac{2}{3}x+5y=4
Combine 7y and -2y to get 5y.
-\frac{2}{3}x=4-5y
Subtract 5y from both sides.
\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{4-5y}{-\frac{2}{3}}
Divide both sides of the equation by -\frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{4-5y}{-\frac{2}{3}}
Dividing by -\frac{2}{3} undoes the multiplication by -\frac{2}{3}.
x=\frac{15y}{2}-6
Divide 4-5y by -\frac{2}{3} by multiplying 4-5y by the reciprocal of -\frac{2}{3}.
-\frac{2}{3}x+7y-2y=4
Combine 5x and -\frac{17}{3}x to get -\frac{2}{3}x.
-\frac{2}{3}x+5y=4
Combine 7y and -2y to get 5y.
5y=4+\frac{2}{3}x
Add \frac{2}{3}x to both sides.
5y=\frac{2x}{3}+4
The equation is in standard form.
\frac{5y}{5}=\frac{\frac{2x}{3}+4}{5}
Divide both sides by 5.
y=\frac{\frac{2x}{3}+4}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{2x}{15}+\frac{4}{5}
Divide 4+\frac{2x}{3} by 5.
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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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