Solve 2.6x-0.5y=7.7

$$2.6x-0.5y = 7.7$$

Solve for x

$$x=\frac{5y+77}{26}$$

Steps for Solving Linear Equation

Add 0.5y to both sides.

$$2.6x=7.7+0.5y$$

The equation is in standard form.

$$2.6x=\frac{y}{2}+7.7$$

Divide both sides of the equation by 2.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.6x}{2.6}=\frac{\frac{y}{2}+7.7}{2.6}$$

Dividing by 2.6 undoes the multiplication by 2.6.

$$x=\frac{\frac{y}{2}+7.7}{2.6}$$

Divide 7.7+\frac{y}{2} by 2.6 by multiplying 7.7+\frac{y}{2} by the reciprocal of 2.6.

$$x=\frac{5y+77}{26}$$

Solve for y

$$y=\frac{26x-77}{5}$$

Steps for Solving Linear Equation

Subtract 2.6x from both sides.

$$-0.5y=7.7-2.6x$$

The equation is in standard form.

$$-0.5y=-\frac{13x}{5}+7.7$$

Multiply both sides by -2.

$$\frac{-0.5y}{-0.5}=\frac{-\frac{13x}{5}+7.7}{-0.5}$$

Dividing by -0.5 undoes the multiplication by -0.5.

$$y=\frac{-\frac{13x}{5}+7.7}{-0.5}$$

Divide 7.7-\frac{13x}{5} by -0.5 by multiplying 7.7-\frac{13x}{5} by the reciprocal of -0.5.

$$y=\frac{26x-77}{5}$$