Solve for x
x=\frac{-2y-1}{3}
Solve for y
y=\frac{-3x-1}{2}
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3\left(y-x\right)+5\left(3x+y\right)=-4
Multiply both sides of the equation by 15, the least common multiple of 5,3,15.
3y-3x+5\left(3x+y\right)=-4
Use the distributive property to multiply 3 by y-x.
3y-3x+15x+5y=-4
Use the distributive property to multiply 5 by 3x+y.
3y+12x+5y=-4
Combine -3x and 15x to get 12x.
8y+12x=-4
Combine 3y and 5y to get 8y.
12x=-4-8y
Subtract 8y from both sides.
12x=-8y-4
The equation is in standard form.
\frac{12x}{12}=\frac{-8y-4}{12}
Divide both sides by 12.
x=\frac{-8y-4}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{-2y-1}{3}
Divide -4-8y by 12.
3\left(y-x\right)+5\left(3x+y\right)=-4
Multiply both sides of the equation by 15, the least common multiple of 5,3,15.
3y-3x+5\left(3x+y\right)=-4
Use the distributive property to multiply 3 by y-x.
3y-3x+15x+5y=-4
Use the distributive property to multiply 5 by 3x+y.
3y+12x+5y=-4
Combine -3x and 15x to get 12x.
8y+12x=-4
Combine 3y and 5y to get 8y.
8y=-4-12x
Subtract 12x from both sides.
8y=-12x-4
The equation is in standard form.
\frac{8y}{8}=\frac{-12x-4}{8}
Divide both sides by 8.
y=\frac{-12x-4}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{-3x-1}{2}
Divide -4-12x by 8.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}