Solve R=|-0,4|-0,5,S=-0,4+|-0,5|,T=|-0,4-0

$$R = | - 0,4 | - 0,5 , S = - 0,4 + | - 0,5 | , T = | - 0,4 - 0$$

Solve for R, S, T

$$R=-0.1$$

$$S=0.1$$

$$T=0.4$$

Solution Steps

Consider the first equation. The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.4 is 0.4.

$$R=0.4-0.5$$

Subtract 0.5 from 0.4 to get -0.1.

$$R=-0.1$$

Consider the second equation. The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.5 is 0.5.

$$S=-0.4+0.5$$

Add -0.4 and 0.5 to get 0.1.

$$S=0.1$$

Consider the third equation. Subtract 0 from -0.4 to get -0.4.

$$T=|-0.4|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.4 is 0.4.

$$T=0.4$$

The system is now solved.

$$R=-0.1 S=0.1 T=0.4$$