Solve {l}{0*8y-x=120}{x-0.6y=20}

$$\left. \begin{array} { l } { 0 \cdot 8 y - x = 120 } \\ { x - 0.6 y = 20 } \end{array} \right.$$

Solve for y, x

$$x=-120$$

$$y = -\frac{700}{3} = -233\frac{1}{3} \approx -233.333333333$$

Solution Steps

Consider the first equation. Multiply 0 and 8 to get 0.

$$0y-x=120$$

Anything times zero gives zero.

$$0-x=120$$

Anything plus zero gives itself.

$$-x=120$$

Divide both sides by -1.

$$x=-120$$

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

$$-120-0.6y=20$$

Add 120 to both sides.

$$-0.6y=20+120$$

Add 20 and 120 to get 140.

$$-0.6y=140$$

Divide both sides by -0.6.

$$y=\frac{140}{-0.6}$$

Expand \frac{140}{-0.6} by multiplying both numerator and the denominator by 10.

$$y=\frac{1400}{-6}$$

Reduce the fraction \frac{1400}{-6} to lowest terms by extracting and canceling out 2.

$$y=-\frac{700}{3}$$

The system is now solved.

$$y=-\frac{700}{3} x=-120$$