Solve 6x-2mx=m/3text{conghien}x=-5

$$6 x - 2 m x = \frac { m } { 3 } \text { co nghien } x = - 5$$

Solve for x, m

$$x=-5$$

$$m = \frac{90}{29} = 3\frac{3}{29} \approx 3.103448276$$

Solution Steps

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

$$6\left(-5\right)-2m\left(-5\right)=\frac{m}{3}$$

Multiply both sides of the equation by 3.

$$18\left(-5\right)-6m\left(-5\right)=m$$

Multiply 18 and -5 to get -90.

$$-90-6m\left(-5\right)=m$$

Multiply -6 and -5 to get 30.

$$-90+30m=m$$

Subtract m from both sides.

$$-90+30m-m=0$$

Combine 30m and -m to get 29m.

$$-90+29m=0$$

Add 90 to both sides. Anything plus zero gives itself.

$$29m=90$$

Divide both sides by 29.

$$m=\frac{90}{29}$$

The system is now solved.

$$x=-5 m=\frac{90}{29}$$