Question

due tuesday by 11:59pm points 8 submitting an external tool available dec 9 at 12am - jan 5, 2026 at 11:59pm

the graph shows two lines: ( y = -x - 2 ) and ( y = 2x - 5 ).

what is the solution to the system of equations?

\\( (-1, 3) \\)

\\( (1, -3) \\)

\\( (1, 3) \\)

\\( (-1, -3) \\)

Explanation:

Step1: Recall system solution

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

Step2: Identify intersection

Find where \( y = -x - 2 \) and \( y = 2x - 5 \) intersect. From the graph, check coordinates: when \( x = 1 \), \( y = -1 - 2 = -3 \) (for first line) and \( y = 2(1) - 5 = -3 \) (for second line). So the intersection is \( (1, -3) \).

Answer:

B. (1, -3) (assuming the option with (1, -3) is labeled as such; if options are as given, the correct one is the option with (1, -3))