Solve 35=94/x+34/y

$$35 = \frac { 94 } { x } + \frac { 34 } { y }$$

Solve for x

$$x=-\frac{94y}{34-35y}$$

$$y\neq 0\text{ and }y\neq \frac{34}{35}$$

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 xy, the least common multiple of x,y.

$$35xy=y\times 94+x\times 34$$

Subtract x\times 34 from both sides.

$$35xy-x\times 34=y\times 94$$

Multiply -1 and 34 to get -34.

$$35xy-34x=y\times 94$$

Combine all terms containing x.

$$\left(35y-34\right)x=y\times 94$$

The equation is in standard form.

$$\left(35y-34\right)x=94y$$

Divide both sides by 35y-34.

$$\frac{\left(35y-34\right)x}{35y-34}=\frac{94y}{35y-34}$$

Dividing by 35y-34 undoes the multiplication by 35y-34.

$$x=\frac{94y}{35y-34}$$

Variable x cannot be equal to 0.

$$x=\frac{94y}{35y-34}\text{, }x\neq 0$$

Solve for y

$$y=-\frac{34x}{94-35x}$$

$$x\neq 0\text{ and }x\neq \frac{94}{35}$$

Steps for Solving Linear Equation

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

$$35xy=y\times 94+x\times 34$$

Subtract y\times 94 from both sides.

$$35xy-y\times 94=x\times 34$$

Multiply -1 and 94 to get -94.

$$35xy-94y=x\times 34$$

Combine all terms containing y.

$$\left(35x-94\right)y=x\times 34$$

The equation is in standard form.

$$\left(35x-94\right)y=34x$$

Divide both sides by 35x-94.

$$\frac{\left(35x-94\right)y}{35x-94}=\frac{34x}{35x-94}$$

Dividing by 35x-94 undoes the multiplication by 35x-94.

$$y=\frac{34x}{35x-94}$$

Variable y cannot be equal to 0.

$$y=\frac{34x}{35x-94}\text{, }y\neq 0$$