Question

In which of the following equations is the distributive property correctly applied to the equation x(y+3)+5=7?

a) xy+3x+5=7
b) xy+8=7
c) xy+3x+2=7
d) xy−3x+5=7

Answer 1

The correct application of the distributive property to the given equation is option a) xy+3x+5=7.

Step-by-step explanation:

The question pertains to correctly applying the distributive property to the equation x(y+3)+5=7. The distributive property states that a(b+c) = ab + ac. Applying this property to the given equation, we distribute x to both y and 3, resulting in the equation xy + 3x. Then, we add 5 to both terms as expressed in the original equation, leading us to xy + 3x + 5=7. Therefore, the correct use of the distributive property for the given equation is option a) xy+3x+5=7.

The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac.

In the given equation, x(y + 3) + 5 = 7, we can apply the distributive property by multiplying x with both terms inside the parentheses (y + 3).

Therefore, the correct equation that applies the distributive property is xy + 3x + 5 = 7 (option a).