Solve sqrt{826}556*65+65left(698745x+356right)=596sqrt{47821555/6}y

$$\sqrt{ 826 } 556 \cdot 65+65 \left( 698745x+356 \right) = 596 \sqrt{ \frac{ 47821555 }{ 6 } } y$$

Solve for x

$$x=\frac{298\sqrt{286929330}y}{136255275}-\frac{556\sqrt{826}}{698745}-\frac{356}{698745}$$

Steps for Solving Linear Equation

Multiply 65 and 556 to get 36140.

$$36140\sqrt{826}+65\left(698745x+356\right)=596\sqrt{\frac{47821555}{6}}y$$

Use the distributive property to multiply 65 by 698745x+356.

$$36140\sqrt{826}[phone]x+23140=596\sqrt{\frac{47821555}{6}}y$$

Rewrite the square root of the division \sqrt{\frac{47821555}{6}} as the division of square roots \frac{\sqrt{47821555}}{\sqrt{6}}.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}}{\sqrt{6}}y$$

Rationalize the denominator of \frac{\sqrt{47821555}}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}y$$

The square of \sqrt{6} is 6.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}\sqrt{6}}{6}y$$

To multiply \sqrt{47821555} and \sqrt{6}, multiply the numbers under the square root.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{286929330}}{6}y$$

Express 596\times \frac{\sqrt{286929330}}{6} as a single fraction.

$$36140\sqrt{826}[phone]x+23140=\frac{596\sqrt{286929330}}{6}y$$

Express \frac{596\sqrt{286929330}}{6}y as a single fraction.

$$36140\sqrt{826}[phone]x+23140=\frac{596\sqrt{286929330}y}{6}$$

Divide 596\sqrt{286929330}y by 6 to get \frac{298}{3}\sqrt{286929330}y.

$$36140\sqrt{826}[phone]x+23140=\frac{298}{3}\sqrt{286929330}y$$

Subtract 36140\sqrt{826} from both sides.

$$45418425x+23140=\frac{298}{3}\sqrt{286929330}y-36140\sqrt{826}$$

Subtract 23140 from both sides.

$$45418425x=\frac{298}{3}\sqrt{286929330}y-36140\sqrt{826}-23140$$

The equation is in standard form.

$$45418425x=\frac{298\sqrt{286929330}y}{3}-36140\sqrt{826}-23140$$

Divide both sides by 45418425.

$$\frac{45418425x}{45418425}=\frac{\frac{298\sqrt{286929330}y}{3}-36140\sqrt{826}-23140}{45418425}$$

Dividing by 45418425 undoes the multiplication by 45418425.

$$x=\frac{\frac{298\sqrt{286929330}y}{3}-36140\sqrt{826}-23140}{45418425}$$

Divide \frac{298\sqrt{286929330}y}{3}-36140\sqrt{826}-23140 by 45418425.

$$x=\frac{298\sqrt{286929330}y}{136255275}-\frac{556\sqrt{826}}{698745}-\frac{356}{698745}$$

Solve for y

$$y=\frac{13\sqrt{286929330}\left(698745x+556\sqrt{826}+356\right)}{5700329356}$$

Steps for Solving Linear Equation

Multiply 65 and 556 to get 36140.

$$36140\sqrt{826}+65\left(698745x+356\right)=596\sqrt{\frac{47821555}{6}}y$$

Use the distributive property to multiply 65 by 698745x+356.

$$36140\sqrt{826}[phone]x+23140=596\sqrt{\frac{47821555}{6}}y$$

Rewrite the square root of the division \sqrt{\frac{47821555}{6}} as the division of square roots \frac{\sqrt{47821555}}{\sqrt{6}}.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}}{\sqrt{6}}y$$

Rationalize the denominator of \frac{\sqrt{47821555}}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}y$$

The square of \sqrt{6} is 6.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{47821555}\sqrt{6}}{6}y$$

To multiply \sqrt{47821555} and \sqrt{6}, multiply the numbers under the square root.

$$36140\sqrt{826}[phone]x+23140=596\times \frac{\sqrt{286929330}}{6}y$$

Express 596\times \frac{\sqrt{286929330}}{6} as a single fraction.

$$36140\sqrt{826}[phone]x+23140=\frac{596\sqrt{286929330}}{6}y$$

Express \frac{596\sqrt{286929330}}{6}y as a single fraction.

$$36140\sqrt{826}[phone]x+23140=\frac{596\sqrt{286929330}y}{6}$$

Divide 596\sqrt{286929330}y by 6 to get \frac{298}{3}\sqrt{286929330}y.

$$36140\sqrt{826}[phone]x+23140=\frac{298}{3}\sqrt{286929330}y$$

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

$$\frac{298}{3}\sqrt{286929330}y=36140\sqrt{826}[phone]x+23140$$

The equation is in standard form.

$$\frac{298\sqrt{286929330}}{3}y=45418425x+36140\sqrt{826}+23140$$

Divide both sides by \frac{298}{3}\sqrt{286929330}.

$$\frac{3\times \frac{298\sqrt{286929330}}{3}y}{298\sqrt{286929330}}=\frac{3\left(45418425x+36140\sqrt{826}+23140\right)}{298\sqrt{286929330}}$$

Dividing by \frac{298}{3}\sqrt{286929330} undoes the multiplication by \frac{298}{3}\sqrt{286929330}.

$$y=\frac{3\left(45418425x+36140\sqrt{826}+23140\right)}{298\sqrt{286929330}}$$

Divide 36140\sqrt{826}[phone]x+23140 by \frac{298}{3}\sqrt{286929330}.

$$y=\frac{13\sqrt{286929330}\left(698745x+556\sqrt{826}+356\right)}{5700329356}$$