Solve 5/M=55/x

$$\frac { 5 } { M } = \frac { 55 } { x }$$

Solve for M

$$M=\frac{x}{11}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable M cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Mx, the least common multiple of M,x.

$$x\times 5=M\times 55$$

Swap sides so that all variable terms are on the left hand side.

$$M\times 55=x\times 5$$

The equation is in standard form.

$$55M=5x$$

Divide both sides by 55.

$$\frac{55M}{55}=\frac{5x}{55}$$

Dividing by 55 undoes the multiplication by 55.

$$M=\frac{5x}{55}$$

Divide 5x by 55.

$$M=\frac{x}{11}$$

Variable M cannot be equal to 0.

$$M=\frac{x}{11}\text{, }M\neq 0$$

Solve for x

$$x=11M$$

$$M\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Mx, the least common multiple of M,x.

$$x\times 5=M\times 55$$

The equation is in standard form.

$$5x=55M$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{55M}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{55M}{5}$$

Divide 55M by 5.

$$x=11M$$

Variable x cannot be equal to 0.

$$x=11M\text{, }x\neq 0$$