Show all the steps you use to solve this problem in the space provided. Solve the system of equation algebraically. Show all your steps.
Y = x^2 + 2x
Y = 3x + 20

the solutions are (-4, 8) and (5, 35)

Step-by-step explanation:

Equate these two functions:

Y = x^2 + 2x = Y = 3x + 20, or

x^2 - x - 20 = 0

This easily factors:  (x - 5)(x + 4) = 0

and the roots are {-4, 5}

Now find the y value for each:

at x = -4, y = 3(-4) + 20 = 8, and

at x = 5,  y = 3(5) + 20 = 35

Thus, the solutions are (-4, 8) and (5, 35)

b. the decimal could be two-tenths.

step-by-step explanation:

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted