Solve the system of equations below algebraically.

5x^2 + y^2 - x + 20y - 48 = 0
x-2y+3=0

A) (0,0) and (1, 2)
B) (0, 2)
C) (1, -3)
D) (-3,0) and (1, 2)

D)  (-3, 0) and (1, 2).

Step-by-step explanation:

5x^2 + y^2 - x + 20y - 48 = 0

x - 2y + 3 = 0

From the second equation:

x = 2y - 3 , so we substitute this in the first equation:

5(2y - 3)^2 + y^2 - (2y - 3) + 20y - 48 = 0

5(4y^2 - 12y + 9) + y^2 - 2y + 3 + 20y - 48 = 0

20y^2 - 60y + 45 + y^2 - 2y + 3 + 20y - 48 = 0

21y^2 - 42y = 0

21y(y - 2) = 0

y = 0 , 2.

So when y = 0 x = 2(0) - 3 = -3

and when y = 2 , x = 2(2) - 3 = 1.

the answer

b. they are parallel and will never intersect.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: