Question

What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5

Answer 1

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

Answer 2

Answer: x = -5, 3/2 y = 10, 7/2

Step-by-step explanation:

y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)

=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5

According to (2):

y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10

y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2