Solve x6-900+x1.5=1200

$$x6-900+x1.5 = 1200$$

Solve for x_1

$$x_{1}=4200-2x_{6}$$

Steps for Solving Linear Equation

Subtract x_{6} from both sides.

$$-900+x_{1}\times 0.5=1200-x_{6}$$

Add 900 to both sides.

$$x_{1}\times 0.5=1200-x_{6}+900$$

Add 1200 and 900 to get 2100.

$$x_{1}\times 0.5=2100-x_{6}$$

The equation is in standard form.

$$0.5x_{1}=2100-x_{6}$$

Multiply both sides by 2.

$$\frac{0.5x_{1}}{0.5}=\frac{2100-x_{6}}{0.5}$$

Dividing by 0.5 undoes the multiplication by 0.5.

$$x_{1}=\frac{2100-x_{6}}{0.5}$$

Divide 2100-x_{6} by 0.5 by multiplying 2100-x_{6} by the reciprocal of 0.5.

$$x_{1}=4200-2x_{6}$$

Solve for x_6

$$x_{6}=-\frac{x_{1}}{2}+2100$$

Solution Steps

Add 900 to both sides.

$$x_{6}+x_{1}\times 0.5=1200+900$$

Add 1200 and 900 to get 2100.

$$x_{6}+x_{1}\times 0.5=2100$$

Subtract x_{1}\times 0.5 from both sides.

$$x_{6}=2100-x_{1}\times 0.5$$

Multiply -1 and 0.5 to get -0.5.

$$x_{6}=2100-0.5x_{1}$$