Use the expression 9(7 + 2x) to answer the following: part a: describe the two factors in this expression. (4 points) part b: how many terms are in each factor of this expression? (4 points) part c: what is the coefficient of the variable term? (2 points)

Answer and Explanation :

Given : Expression

Part A :

To find : Describe the two factors in this expression?

Solution :  

The given expression is already in the factored form

The factors are (9) and (7+2x)

Part B :

To find : How many terms are in each factor of this expression?

Solution :

In factor 9 - there is one term

In factor (7+2x) - there are two terms

Part C :

To find : What is the coefficient of the variable term?

Solution :

The variable term in the given expression is x

The coefficient of the variable term is 2.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1