Solve 0.5t-1.2=0.4x+3.3

$$0.5t-1.2 = 0.4x+3.3$$

Solve for t

$$t=\frac{4x}{5}+9$$

Steps for Solving Linear Equation

Add 1.2 to both sides.

$$0.5t=0.4x+3.3+1.2$$

Add 3.3 and 1.2 to get 4.5.

$$0.5t=0.4x+4.5$$

The equation is in standard form.

$$0.5t=\frac{2x}{5}+4.5$$

Multiply both sides by 2.

$$\frac{0.5t}{0.5}=\frac{\frac{2x}{5}+4.5}{0.5}$$

Dividing by 0.5 undoes the multiplication by 0.5.

$$t=\frac{\frac{2x}{5}+4.5}{0.5}$$

Divide \frac{2x}{5}+4.5 by 0.5 by multiplying \frac{2x}{5}+4.5 by the reciprocal of 0.5.

$$t=\frac{4x}{5}+9$$

Solve for x

$$x=\frac{5t-45}{4}$$

Steps for Solving Linear Equation

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

$$0.4x+3.3=0.5t-1.2$$

Subtract 3.3 from both sides.

$$0.4x=0.5t-1.2-3.3$$

Subtract 3.3 from -1.2 to get -4.5.

$$0.4x=0.5t-4.5$$

The equation is in standard form.

$$0.4x=\frac{t-9}{2}$$

Divide both sides of the equation by 0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.4x}{0.4}=\frac{t-9}{0.4\times 2}$$

Dividing by 0.4 undoes the multiplication by 0.4.

$$x=\frac{t-9}{0.4\times 2}$$

Divide \frac{t-9}{2} by 0.4 by multiplying \frac{t-9}{2} by the reciprocal of 0.4.

$$x=\frac{5t-45}{4}$$