What is the value of (a + b) in the system of equations below? 8(a + b) + 3z = −9 a + b + z = 2 select one: a. -5 b. -4 c. -3 d. -2

C

given the 2 equations

8(a + b) + 3z = - 9 → (1)

(a + b) + z = 2 → (2)

multiply (2) by 3 so that the coefficients of z are equal

3(a + b) + 3z = 6 → (3)

subtract (1) - (3) to eliminate term in z

5(a + b) = - 15 ( divide both sides by 5 )

(a + b) = - 3 → C

the answer on e2020 is

10

4/5

3/5

4/3

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0