Question

Determine the number of solutions to the following system of equations. y=-3x^2-4x+7 and 3x+2y=18

Answer 1

Answer:

Step-by-step explanation:

y=-3x²-4x+7...(*)

3x+2y=18...(**)

use (*) put the value of y in (**) :

3x +2(-3x²-4x+7)=18

3x-6x²-8x +14 -18 = 0

-6x²-5x- 4 = 0

6x²+5x+4 = 0

delta = b² - 4ac     a = 6   b=5    c =4

delta = 5² - 4(6)(4)= 25 -96= -71 negatif

so no reals solution