Solve 0.8(x+y)=1.5x

$$0.8 ( x + y ) = 1.5 x$$

Solve for x

$$x=\frac{8y}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by x+y.

$$0.8x+0.8y=1.5x$$

Subtract 1.5x from both sides.

$$0.8x+0.8y-1.5x=0$$

Combine 0.8x and -1.5x to get -0.7x.

$$-0.7x+0.8y=0$$

Subtract 0.8y from both sides. Anything subtracted from zero gives its negation.

$$-0.7x=-0.8y$$

The equation is in standard form.

$$-0.7x=-\frac{4y}{5}$$

Divide both sides of the equation by -0.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.7x}{-0.7}=-\frac{\frac{4y}{5}}{-0.7}$$

Dividing by -0.7 undoes the multiplication by -0.7.

$$x=-\frac{\frac{4y}{5}}{-0.7}$$

Divide -\frac{4y}{5} by -0.7 by multiplying -\frac{4y}{5} by the reciprocal of -0.7.

$$x=\frac{8y}{7}$$

Solve for y

$$y=\frac{7x}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by x+y.

$$0.8x+0.8y=1.5x$$

Subtract 0.8x from both sides.

$$0.8y=1.5x-0.8x$$

Combine 1.5x and -0.8x to get 0.7x.

$$0.8y=0.7x$$

The equation is in standard form.

$$0.8y=\frac{7x}{10}$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8y}{0.8}=\frac{7x}{0.8\times 10}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$y=\frac{7x}{0.8\times 10}$$

Divide \frac{7x}{10} by 0.8 by multiplying \frac{7x}{10} by the reciprocal of 0.8.

$$y=\frac{7x}{8}$$