Solve {l}{-3(1+2m)=-3(m+6)}{-7(5-4x)=3(3+2x)}

$$\left. \begin{array} { l } { - 3 ( 1 + 2 m ) = - 3 ( m + 6 ) } \\ { - 7 ( 5 - 4 x ) = 3 ( 3 + 2 x ) } \end{array} \right.$$

Solve for m, x

$$x=2$$

$$m=5$$

Solution Steps

Consider the first equation. Cancel out -3 on both sides.

$$1+2m=m+6$$

Subtract m from both sides.

$$1+2m-m=6$$

Combine 2m and -m to get m.

$$1+m=6$$

Subtract 1 from both sides.

$$m=6-1$$

Subtract 1 from 6 to get 5.

$$m=5$$

Consider the second equation. Use the distributive property to multiply -7 by 5-4x.

$$-35+28x=3\left(3+2x\right)$$

Use the distributive property to multiply 3 by 3+2x.

$$-35+28x=9+6x$$

Subtract 6x from both sides.

$$-35+28x-6x=9$$

Combine 28x and -6x to get 22x.

$$-35+22x=9$$

Add 35 to both sides.

$$22x=9+35$$

Add 9 and 35 to get 44.

$$22x=44$$

Divide both sides by 22.

$$x=\frac{44}{22}$$

Divide 44 by 22 to get 2.

$$x=2$$

The system is now solved.

$$m=5 x=2$$