Solve for m
m=\frac{9x-1}{10}
Solve for x
x=\frac{10m+1}{9}
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Quiz
Linear Equation
5 problems similar to:
\frac { 3 x } { 5 } - \frac { 1 } { 15 } = \frac { 2 m } { 3 }
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3\times 3x-1=5\times 2m
Multiply both sides of the equation by 15, the least common multiple of 5,15,3.
9x-1=5\times 2m
Multiply 3 and 3 to get 9.
9x-1=10m
Multiply 5 and 2 to get 10.
10m=9x-1
Swap sides so that all variable terms are on the left hand side.
\frac{10m}{10}=\frac{9x-1}{10}
Divide both sides by 10.
m=\frac{9x-1}{10}
Dividing by 10 undoes the multiplication by 10.
3\times 3x-1=5\times 2m
Multiply both sides of the equation by 15, the least common multiple of 5,15,3.
9x-1=5\times 2m
Multiply 3 and 3 to get 9.
9x-1=10m
Multiply 5 and 2 to get 10.
9x=10m+1
Add 1 to both sides.
\frac{9x}{9}=\frac{10m+1}{9}
Divide both sides by 9.
x=\frac{10m+1}{9}
Dividing by 9 undoes the multiplication by 9.
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