Solve for x
x=2y+\frac{3}{5}
Solve for y
y=\frac{x}{2}-\frac{3}{10}
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6x+10y=11x-3
Use the distributive property to multiply 2 by 3x+5y.
6x+10y-11x=-3
Subtract 11x from both sides.
-5x+10y=-3
Combine 6x and -11x to get -5x.
-5x=-3-10y
Subtract 10y from both sides.
-5x=-10y-3
The equation is in standard form.
\frac{-5x}{-5}=\frac{-10y-3}{-5}
Divide both sides by -5.
x=\frac{-10y-3}{-5}
Dividing by -5 undoes the multiplication by -5.
x=2y+\frac{3}{5}
Divide -3-10y by -5.
6x+10y=11x-3
Use the distributive property to multiply 2 by 3x+5y.
10y=11x-3-6x
Subtract 6x from both sides.
10y=5x-3
Combine 11x and -6x to get 5x.
\frac{10y}{10}=\frac{5x-3}{10}
Divide both sides by 10.
y=\frac{5x-3}{10}
Dividing by 10 undoes the multiplication by 10.
y=\frac{x}{2}-\frac{3}{10}
Divide 5x-3 by 10.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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