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.
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).