Solve x=sqrt{4}4y/2+42

$$x= \sqrt{ 4 } \frac{ 4y }{ 2+42 }$$

Solve for x

$$x=\frac{2y}{11}$$

Solution Steps

Calculate the square root of 4 and get 2.

$$x=2\times \frac{4y}{2+42}$$

Add 2 and 42 to get 44.

$$x=2\times \frac{4y}{44}$$

Divide 4y by 44 to get \frac{1}{11}y.

$$x=2\times \frac{1}{11}y$$

Multiply 2 and \frac{1}{11} to get \frac{2}{11}.

$$x=\frac{2}{11}y$$

Solve for y

$$y=\frac{11x}{2}$$

Steps for Solving Linear Equation

Calculate the square root of 4 and get 2.

$$x=2\times \frac{4y}{2+42}$$

Add 2 and 42 to get 44.

$$x=2\times \frac{4y}{44}$$

Divide 4y by 44 to get \frac{1}{11}y.

$$x=2\times \frac{1}{11}y$$

Multiply 2 and \frac{1}{11} to get \frac{2}{11}.

$$x=\frac{2}{11}y$$

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

$$\frac{2}{11}y=x$$

Divide both sides of the equation by \frac{2}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{11}y}{\frac{2}{11}}=\frac{x}{\frac{2}{11}}$$

Dividing by \frac{2}{11} undoes the multiplication by \frac{2}{11}.

$$y=\frac{x}{\frac{2}{11}}$$

Divide x by \frac{2}{11} by multiplying x by the reciprocal of \frac{2}{11}.

$$y=\frac{11x}{2}$$