Solve {l}{14.42=2r--2.5}{s=r}{text{Solvefor}ttext{where}}{t=s}

$$\left. \begin{array} { l } { 14.42 = 2 r - -2.5 }\\ { s = r }\\ { \text{Solve for } t \text{ where} } \\ { t = s } \end{array} \right.$$

Solve for r, s, t

$$t=5.96$$

Solution Steps

Consider the first equation. The opposite of -2.5 is 2.5.

$$14.42=2r+2.5$$

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

$$2r+2.5=14.42$$

Subtract 2.5 from both sides.

$$2r=14.42-2.5$$

Subtract 2.5 from 14.42 to get 11.92.

$$2r=11.92$$

Divide both sides by 2.

$$r=\frac{11.92}{2}$$

Expand \frac{11.92}{2} by multiplying both numerator and the denominator by 100.

$$r=\frac{1192}{200}$$

Reduce the fraction \frac{1192}{200} to lowest terms by extracting and canceling out 8.

$$r=\frac{149}{25}$$

Consider the second equation. Insert the known values of variables into the equation.

$$s=\frac{149}{25}$$

Consider the third equation. Insert the known values of variables into the equation.

$$t=\frac{149}{25}$$

The system is now solved.

$$r=\frac{149}{25} s=\frac{149}{25} t=\frac{149}{25}$$