The Multiplication Property of Equality Could be Used to Solve Which of the Following Equations?


Question: The multiplication property of equality could be used to solve which of the following equations? Choose the correct option.

a) -3 + y = 7
b) b ÷ (-2) = 18
c) (x + 2)(x - 3) = 0
d) m + 7 = -12

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

Answer: Option b) - The multiplication property of equality could be used to solve the equation b ÷ (-2) = 18.

Let's look into the options to answer this.

Explanation:

MUltiplicative property of equality states that if we multiply both sides of an equation with the same number, the equality still remains.

consider a,b,c  ∈ ℝ  and if a = b, then a.c = b.c 

b ÷ (-2) = 18 satisfies the multiplication property of equality.

This is because we can find the value of b by multiplying both sides by -2.

Thus, option b) - The multiplication property of equality could be used to solve the equation b ÷ (-2) = 18