Question

use the graph below to estimate the solution to the system of equations shown.

a. ( x = 4\frac{3}{4}, y = -2\frac{3}{4} )

b. ( x = -2\frac{3}{4}, y = 4\frac{3}{4} )

c. ( x = 4\frac{1}{3}, y = -2\frac{1}{3} )

Explanation:

Step1: Find intersection point

The solution of the system is the intersection of the two lines.

Step2: Estimate coordinates

From the graph, the intersection is at $x \approx 4.75$ (which is $4\frac{3}{4}$) and $y \approx -2.75$ (which is $-2\frac{3}{4}$). Match with option A.

Answer:

A. $x = 4\frac{3}{4}, y = -2\frac{3}{4}$