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.
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.