Question

Graph the system of equations.

f(x)=x^2−5x+7
g(x)=2x+1
Which statements are true about the solutions to the system of equations?

Select each correct answer.


The x-coordinate of a solution to the system of equations is 1.

The y-coordinate of a solution to the system of equations is 3.

The x-coordinate of a solution to the system of equation is 3.

An ordered pair that is a solution to the system of equations lies on the y-axis.

An ordered pair that is a solution to the system of equations lies in Quadrant III.

Both ordered pairs that are solutions to the system of equations are in Quadrant I.

Answer 1

We need to graph them first

• Both attached

Solutions are

• (1,3)
• (6,13)

So

Option A,B,F are correct

Answer 2

For Future Refernce-

The Answers

The x-coordinate of a solution to the system of equations is 1.

Both ordered pairs that are solutions to the system of equations are in Quadrant I.

The y-coordinate of a solution to the system of equations is 3.

(source- k-12 Algebra 1 Checkpoint.)