Solve for x
x=-\frac{3y}{4}+\frac{11}{2}
Solve for y
y=\frac{22-4x}{3}
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4x-4+3\left(y-1\right)=15
Use the distributive property to multiply 4 by x-1.
4x-4+3y-3=15
Use the distributive property to multiply 3 by y-1.
4x-7+3y=15
Subtract 3 from -4 to get -7.
4x+3y=15+7
Add 7 to both sides.
4x+3y=22
Add 15 and 7 to get 22.
4x=22-3y
Subtract 3y from both sides.
\frac{4x}{4}=\frac{22-3y}{4}
Divide both sides by 4.
x=\frac{22-3y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{4}+\frac{11}{2}
Divide 22-3y by 4.
4x-4+3\left(y-1\right)=15
Use the distributive property to multiply 4 by x-1.
4x-4+3y-3=15
Use the distributive property to multiply 3 by y-1.
4x-7+3y=15
Subtract 3 from -4 to get -7.
-7+3y=15-4x
Subtract 4x from both sides.
3y=15-4x+7
Add 7 to both sides.
3y=22-4x
Add 15 and 7 to get 22.
\frac{3y}{3}=\frac{22-4x}{3}
Divide both sides by 3.
y=\frac{22-4x}{3}
Dividing by 3 undoes the multiplication by 3.
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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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