Solve for x
x=\frac{8y+15}{19}
Solve for y
y=\frac{19x-15}{8}
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5\left(2x-y\right)-3\left(y-3x\right)=15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-5y-3\left(y-3x\right)=15
Use the distributive property to multiply 5 by 2x-y.
10x-5y-3y+9x=15
Use the distributive property to multiply -3 by y-3x.
10x-8y+9x=15
Combine -5y and -3y to get -8y.
19x-8y=15
Combine 10x and 9x to get 19x.
19x=15+8y
Add 8y to both sides.
19x=8y+15
The equation is in standard form.
\frac{19x}{19}=\frac{8y+15}{19}
Divide both sides by 19.
x=\frac{8y+15}{19}
Dividing by 19 undoes the multiplication by 19.
5\left(2x-y\right)-3\left(y-3x\right)=15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-5y-3\left(y-3x\right)=15
Use the distributive property to multiply 5 by 2x-y.
10x-5y-3y+9x=15
Use the distributive property to multiply -3 by y-3x.
10x-8y+9x=15
Combine -5y and -3y to get -8y.
19x-8y=15
Combine 10x and 9x to get 19x.
-8y=15-19x
Subtract 19x from both sides.
\frac{-8y}{-8}=\frac{15-19x}{-8}
Divide both sides by -8.
y=\frac{15-19x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{19x-15}{8}
Divide 15-19x by -8.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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