Solve for x
x=3y+\frac{3}{2}
Solve for y
y=\frac{x}{3}-\frac{1}{2}
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2y=\frac{2}{3}x-4+3
Use the distributive property to multiply \frac{2}{3} by x-6.
2y=\frac{2}{3}x-1
Add -4 and 3 to get -1.
\frac{2}{3}x-1=2y
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}x=2y+1
Add 1 to both sides.
\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{2y+1}{\frac{2}{3}}
Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{2y+1}{\frac{2}{3}}
Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.
x=3y+\frac{3}{2}
Divide 2y+1 by \frac{2}{3} by multiplying 2y+1 by the reciprocal of \frac{2}{3}.
2y=\frac{2}{3}x-4+3
Use the distributive property to multiply \frac{2}{3} by x-6.
2y=\frac{2}{3}x-1
Add -4 and 3 to get -1.
2y=\frac{2x}{3}-1
The equation is in standard form.
\frac{2y}{2}=\frac{\frac{2x}{3}-1}{2}
Divide both sides by 2.
y=\frac{\frac{2x}{3}-1}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{x}{3}-\frac{1}{2}
Divide \frac{2x}{3}-1 by 2.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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