Question

Select the correct answer. Consider the following system of equations.

Answer 1

Solve for x coordinate of solution

• It's after -3 and before -4

Check given value in options and approximate them

• 5/2=2.5
• 13/4=3.3

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer 2

`\sf C. \quad \left(-(13)/(4),(5)/(2)\right)`

Explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

• the x-coordinate of the point of intersection is -4 < x < -3
• the y-coordinate of the point of intersection is 2 < y < 3

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C. -13/4 = -3.25

⇒ D. -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

`\sf C. \quad \left(-(13)/(4),(5)/(2)\right)`