Question

What is the solution set of y=x? - 5x + 7 and y = 2x + 1?
Separate your x and y values with a comma.
) and (
Does anyone know this?

Answer 1

Answer:

The solutions are (6,13) and (1,3)

Step-by-step explanation:

We want to solve

$y=x^2-5x+7$

and

$y=2x+1$

We equate both equations to get:

$x^2-5x+7=2x+1$

$x^2-5x-2x+7-1=0$

$x^2-7x+6=0$

We split the middle term to get:

$x^2-6x-x+6=0$

$x(x-6)-1(x-6)=0$

$(x-6)(x-1)=0$

$(x-6)=0,(x-1)=0$

$x=6,x=1$

When x=6, y=2(6)+1=13

When x=1, y=2(1)+1=3

The solutions are (6,13) and (1,3)