Solve 2.5x+0.5y=7.5

$$2.5 x + 0.5 y = 7.5$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 0.5y from both sides.

$$2.5x=7.5-0.5y$$

The equation is in standard form.

$$2.5x=\frac{15-y}{2}$$

Divide both sides of the equation by 2.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.5x}{2.5}=\frac{15-y}{2\times 2.5}$$

Dividing by 2.5 undoes the multiplication by 2.5.

$$x=\frac{15-y}{2\times 2.5}$$

Divide \frac{15-y}{2} by 2.5 by multiplying \frac{15-y}{2} by the reciprocal of 2.5.

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

Solve for y

$$y=15-5x$$

Steps for Solving Linear Equation

Subtract 2.5x from both sides.

$$0.5y=7.5-2.5x$$

The equation is in standard form.

$$0.5y=\frac{15-5x}{2}$$

Multiply both sides by 2.

$$\frac{0.5y}{0.5}=\frac{15-5x}{0.5\times 2}$$

Dividing by 0.5 undoes the multiplication by 0.5.

$$y=\frac{15-5x}{0.5\times 2}$$

Divide \frac{15-5x}{2} by 0.5 by multiplying \frac{15-5x}{2} by the reciprocal of 0.5.

$$y=15-5x$$