Solve (-1-y)=-2div3(5-x)

$$(-1-y)=-2 \div 3(5-x)$$

Solve for x

$$x=\frac{7-3y}{2}$$

Steps for Solving Linear Equation

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

Use the distributive property to multiply -\frac{2}{3} by 5-x.

$$-1-y=-\frac{10}{3}+\frac{2}{3}x$$

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

$$-\frac{10}{3}+\frac{2}{3}x=-1-y$$

Add \frac{10}{3} to both sides.

$$\frac{2}{3}x=-1-y+\frac{10}{3}$$

Add -1 and \frac{10}{3} to get \frac{7}{3}.

$$\frac{2}{3}x=\frac{7}{3}-y$$

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{\frac{7}{3}-y}{\frac{2}{3}}$$

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

$$x=\frac{\frac{7}{3}-y}{\frac{2}{3}}$$

Divide \frac{7}{3}-y by \frac{2}{3} by multiplying \frac{7}{3}-y by the reciprocal of \frac{2}{3}.

$$x=\frac{7-3y}{2}$$

Solve for y

$$y=\frac{7-2x}{3}$$

Steps for Solving Linear Equation

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

Use the distributive property to multiply -\frac{2}{3} by 5-x.

$$-1-y=-\frac{10}{3}+\frac{2}{3}x$$

Add 1 to both sides.

$$-y=-\frac{10}{3}+\frac{2}{3}x+1$$

Add -\frac{10}{3} and 1 to get -\frac{7}{3}.

$$-y=-\frac{7}{3}+\frac{2}{3}x$$

The equation is in standard form.

$$-y=\frac{2x-7}{3}$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{2x-7}{-3}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{2x-7}{-3}$$

Divide \frac{-7+2x}{3} by -1.

$$y=\frac{7-2x}{3}$$