Solve y:x=3-(2/1-4)

$$y : x = 3 - ( \frac { 2 } { 1 - 4 } )$$

Solve for x

$$x=\frac{3y}{11}$$

$$y\neq 0$$

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 x.

$$y=x\times 3-\left(-\frac{1}{3}x\times 2\right)$$

Multiply -\frac{1}{3} and 2 to get -\frac{2}{3}.

$$y=x\times 3-\left(-\frac{2}{3}x\right)$$

The opposite of -\frac{2}{3}x is \frac{2}{3}x.

$$y=x\times 3+\frac{2}{3}x$$

Combine x\times 3 and \frac{2}{3}x to get \frac{11}{3}x.

$$y=\frac{11}{3}x$$

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

$$\frac{11}{3}x=y$$

Divide both sides of the equation by \frac{11}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{11}{3}x}{\frac{11}{3}}=\frac{y}{\frac{11}{3}}$$

Dividing by \frac{11}{3} undoes the multiplication by \frac{11}{3}.

$$x=\frac{y}{\frac{11}{3}}$$

Divide y by \frac{11}{3} by multiplying y by the reciprocal of \frac{11}{3}.

$$x=\frac{3y}{11}$$

Variable x cannot be equal to 0.

$$x=\frac{3y}{11}\text{, }x\neq 0$$

Solve for y

$$y=\frac{11x}{3}$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$y=x\times 3-\left(-\frac{1}{3}x\times 2\right)$$

Multiply -\frac{1}{3} and 2 to get -\frac{2}{3}.

$$y=x\times 3-\left(-\frac{2}{3}x\right)$$

The opposite of -\frac{2}{3}x is \frac{2}{3}x.

$$y=x\times 3+\frac{2}{3}x$$

Combine x\times 3 and \frac{2}{3}x to get \frac{11}{3}x.

$$y=\frac{11}{3}x$$