Question

simplify, using the distributive property. enter the number that belongs in the green box. $5(2x - 3y) = ?x + \square y$

Explanation:

Step1: Apply distributive property to 5(2x)

The distributive property states that \(a(b + c)=ab+ac\). Here, for \(5(2x - 3y)\), we first multiply 5 with \(2x\). So, \(5\times2x = 10x\).

Step2: Apply distributive property to 5(-3y)

Now, multiply 5 with \(-3y\). So, \(5\times(-3y)=- 15y\). So, \(5(2x - 3y)=10x-15y\). Comparing with \([?]x+[\ ]y\), the coefficient of \(x\) is 10.

Answer:

10