Question

Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their answers to get the same expression. What are the values missing from Gregory's expression?

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we have

Felicia

$-5(3x+2)+10x$

Apply distributive property

$-5(3x)-5(2)+10x$

$-15x-10+10x$

Combine like terms

$-5x-10$

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant  term in Gregory's expression

so

$-12-4x+ax+b$

equate Gregory's expression to Felicia's expression

$-12-4x+ax+b=-5x-10$

so

$-12+b=-10$ ----->$b=2$

$-4x+ax=-5x$ ------> $a=-1$

so

Gregory's expression is

$-12-4x+2-x$

therefore

The missing terms are 2 and -x