Jade solves 4x = 3/2 using the Multiplication Property of Equality. Which describes Jade's next step? A. Multiply both sides of the equation by 3/2 B. Multiply both sides of the equation by 1/4 C. Multiply both sides of the equation by 2/3 D. Multiply both sides of the equation by 4 PLEASE HELP AND EXPLAIN :(
Answer:
The correct option is B.
Step-by-step explanation:
According to the Multiplication Property of Equality: If a,b, and c three real numbers, then
\(a=b\Rightarrow ac=bc\)
Both are equivalent equations.
The given equation is
\(4x=\frac{3}{2}\)
To solve this equation we have to isolate the variable x.
Multiply both sides of the equation by 1/4.
\(4x\times \frac{1}{4}=\frac{3}{2}\times \frac{1}{4}\)
\(x=\frac{3}{8}\)
Jade needs to multiply both sides of the equation by 1/4 to solve the given equitation.
Therefore the correct option is B.