Question

Jian made a table showing some x- and y-values in a system of equations. Use his tabl to identify the solution for the system.
The table is shown:
x-value y-value if y = 2x -5 y-value if y = x - 3
0 -5 -3
1 -3 -2
2 -1 -1
3 1 0
Options:
A. (2, -1)
B. There is an infinite number of solutions
C. (3, 0)
D. There is no solution.

Answer 1

To identify the solution for the system of equations, we need to find the values of x and y that satisfy both equations.

Looking at the table for the y-value when y = 2x - 5, we see that when x = 2, y = -1. This matches the y-value when y = x - 3.

Therefore, the solution for the system of equations is (2, -1).

So, the correct option is A. (2, -1).