Solve {l}{2x+3/3=6}{2B-3x=-2}

$$\left\{ \begin{array} { l } { 2 x + 3 / 3 = 6 } \\ { 2 B - 3 x = - 2 } \end{array} \right.$$

Solve for x, B

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

$$B = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Solution Steps

Consider the first equation. Divide 3 by 3 to get 1.

$$2x+1=6$$

Subtract 1 from both sides.

$$2x=6-1$$

Subtract 1 from 6 to get 5.

$$2x=5$$

Divide both sides by 2.

$$x=\frac{5}{2}$$

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

$$2B-3\times \frac{5}{2}=-2$$

Multiply -3 and \frac{5}{2} to get -\frac{15}{2}.

$$2B-\frac{15}{2}=-2$$

Add \frac{15}{2} to both sides.

$$2B=-2+\frac{15}{2}$$

Add -2 and \frac{15}{2} to get \frac{11}{2}.

$$2B=\frac{11}{2}$$

Divide both sides by 2.

$$B=\frac{\frac{11}{2}}{2}$$

Express \frac{\frac{11}{2}}{2} as a single fraction.

$$B=\frac{11}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$B=\frac{11}{4}$$

The system is now solved.

$$x=\frac{5}{2} B=\frac{11}{4}$$