Solve the equation and check the solution. $$\frac { 3 a } { 4 } + \frac { a } { 2 } = - 20$$
A)- 16
B)- 8
C)16
D)8
E)no solution

Question

Quizplus · Accepted Answer

Combining the two fractions, we get:
$$\frac{3a}{4}+\frac{a}{2}=\frac{3a+2a}{4}=-\frac{5a}{4}=-20$$
Multiplying both sides by $-\frac{4}{5}$, we get:
$$a=\frac{80}{5}$$
Simplifying, we get $a=16$. Therefore, the correct answer is A) -16. 
We can check by plugging in the value of $a$ into the original equation:
$$\frac{3a}{4}+\frac{a}{2}=\frac{3(16)}{4}+\frac{(16)}{2}=12+8=20$$
Since the left-hand side and right-hand side of the equation are equal when $a=16$, we have found the correct solution.

Solve the Equation and Check the Solution 3a4+a2=−20\frac { 3 a } { 4 } + \frac { a } { 2 } = - 2043a​+2a​=−20

Solve the Equation and Check the Solution $\frac { 3 a } { 4 } + \frac { a } { 2 } = - 20$