What is the answer to this question?

x = 10, y = 40

Step-by-step explanation:

Given the 2 equations

y = 4x → (1)

2y + 2.5x = 105 → (2)

Substitute y = 4x into (2)

2(4x) + 2.5x = 105, that is

8x + 2.5x = 105

10.5x = 105 ( divide both sides by 10.5 )

x = 10

Substitute x = 10 into (1)

y = 4x = 4 × 10 = 40

(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