Solve for x
x=\frac{8y}{7}
Solve for y
y=\frac{7x}{8}
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x-2y=6y-6x
Use the distributive property to multiply 6 by y-x.
x-2y+6x=6y
Add 6x to both sides.
7x-2y=6y
Combine x and 6x to get 7x.
7x=6y+2y
Add 2y to both sides.
7x=8y
Combine 6y and 2y to get 8y.
\frac{7x}{7}=\frac{8y}{7}
Divide both sides by 7.
x=\frac{8y}{7}
Dividing by 7 undoes the multiplication by 7.
x-2y=6y-6x
Use the distributive property to multiply 6 by y-x.
x-2y-6y=-6x
Subtract 6y from both sides.
x-8y=-6x
Combine -2y and -6y to get -8y.
-8y=-6x-x
Subtract x from both sides.
-8y=-7x
Combine -6x and -x to get -7x.
\frac{-8y}{-8}=-\frac{7x}{-8}
Divide both sides by -8.
y=-\frac{7x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{7x}{8}
Divide -7x by -8.
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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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