Solve {l}{4=-2(3)+6}{4=1/2(3)+6}

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

Verify

Solution Steps

Multiply -2 and 3 to get -6.

$$4=-6+6\text{ and }4=\frac{1}{2}\times 3+6$$

Add -6 and 6 to get 0.

$$4=0\text{ and }4=\frac{1}{2}\times 3+6$$

Compare 4 and 0.

$$\text{false}\text{ and }4=\frac{1}{2}\times 3+6$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\text{false}\text{ and }4=\frac{3}{2}+6$$

Convert 6 to fraction \frac{12}{2}.

$$\text{false}\text{ and }4=\frac{3}{2}+\frac{12}{2}$$

Since \frac{3}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\text{false}\text{ and }4=\frac{3+12}{2}$$

Add 3 and 12 to get 15.

$$\text{false}\text{ and }4=\frac{15}{2}$$

Convert 4 to fraction \frac{8}{2}.

$$\text{false}\text{ and }\frac{8}{2}=\frac{15}{2}$$

Compare \frac{8}{2} and \frac{15}{2}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$