Solve for a
a=\frac{4-b}{3}
Solve for b
b=4-3a
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3\left(a+b\right)=2\left(b+2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3a+3b=2\left(b+2\right)
Use the distributive property to multiply 3 by a+b.
3a+3b=2b+4
Use the distributive property to multiply 2 by b+2.
3a=2b+4-3b
Subtract 3b from both sides.
3a=-b+4
Combine 2b and -3b to get -b.
3a=4-b
The equation is in standard form.
\frac{3a}{3}=\frac{4-b}{3}
Divide both sides by 3.
a=\frac{4-b}{3}
Dividing by 3 undoes the multiplication by 3.
3\left(a+b\right)=2\left(b+2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3a+3b=2\left(b+2\right)
Use the distributive property to multiply 3 by a+b.
3a+3b=2b+4
Use the distributive property to multiply 2 by b+2.
3a+3b-2b=4
Subtract 2b from both sides.
3a+b=4
Combine 3b and -2b to get b.
b=4-3a
Subtract 3a from both sides.
Examples
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y = 3x + 4
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699 * 533
Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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