Question

What are the solutions to the system?

y = x2 + 5x – 9

y = 2x + 1

Answer 1

x= -5, 2

Explanation:

set them equal to each other:
`x^(2)+5x-9=2x+1`

subtract 2x from both sides:
`x^(2) +3x-9=1`

subtract 1 from both sides to make it equal to zero:
`x^(2) +3x-10=0`

find which 2 factors of -10 equal 3: 5 and -2

plug it into:
`(x +?)`:
`(x+5) (x -2)`

set both equations to zero:
`x +5=0`
`x-2=0`

solve: x

Answer 2

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