Solve 5sqrt{3}(x+y)*0.5=sqrt{3}

$$5 \sqrt{ 3 } (x+y) \times 0.5= \sqrt{ 3 }$$

Solve for x

$$x=0.4-y$$

Steps for Solving Linear Equation

Multiply 0.5 and 5 to get 2.5.

$$2.5\sqrt{3}\left(x+y\right)=\sqrt{3}$$

Use the distributive property to multiply 2.5\sqrt{3} by x+y.

$$2.5\sqrt{3}x+2.5\sqrt{3}y=\sqrt{3}$$

Subtract 2.5\sqrt{3}y from both sides.

$$2.5\sqrt{3}x=\sqrt{3}-2.5\sqrt{3}y$$

The equation is in standard form.

$$\frac{5\sqrt{3}}{2}x=-\frac{5\sqrt{3}y}{2}+\sqrt{3}$$

Divide both sides by 2.5\sqrt{3}.

$$\frac{2\times \frac{5\sqrt{3}}{2}x}{5\sqrt{3}}=\frac{2\sqrt{3}\left(-\frac{5y}{2}+1\right)}{5\sqrt{3}}$$

Dividing by 2.5\sqrt{3} undoes the multiplication by 2.5\sqrt{3}.

$$x=\frac{2\sqrt{3}\left(-\frac{5y}{2}+1\right)}{5\sqrt{3}}$$

Divide \left(1-\frac{5y}{2}\right)\sqrt{3} by 2.5\sqrt{3}.

$$x=\frac{2}{5}-y$$

Solve for y

$$y=0.4-x$$

Steps for Solving Linear Equation

Multiply 0.5 and 5 to get 2.5.

$$2.5\sqrt{3}\left(x+y\right)=\sqrt{3}$$

Use the distributive property to multiply 2.5\sqrt{3} by x+y.

$$2.5\sqrt{3}x+2.5\sqrt{3}y=\sqrt{3}$$

Subtract 2.5\sqrt{3}x from both sides.

$$2.5\sqrt{3}y=\sqrt{3}-2.5\sqrt{3}x$$

The equation is in standard form.

$$\frac{5\sqrt{3}}{2}y=-\frac{5\sqrt{3}x}{2}+\sqrt{3}$$

Divide both sides by 2.5\sqrt{3}.

$$\frac{2\times \frac{5\sqrt{3}}{2}y}{5\sqrt{3}}=\frac{2\sqrt{3}\left(-\frac{5x}{2}+1\right)}{5\sqrt{3}}$$

Dividing by 2.5\sqrt{3} undoes the multiplication by 2.5\sqrt{3}.

$$y=\frac{2\sqrt{3}\left(-\frac{5x}{2}+1\right)}{5\sqrt{3}}$$

Divide \left(1-\frac{5x}{2}\right)\sqrt{3} by 2.5\sqrt{3}.

$$y=\frac{2}{5}-x$$