Use the table to answer the question. 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 Jian made a table showing some x- and y-values in a system of equations. Use his table to identify the solution for the system. (1 point) Responses (2,−1) left parenthesis 2 comma negative 1 right parenthesis (3,0) left parenthesis 3 comma 0 right parenthesis There is no solution. There is no solution. There is an infinite number of solutions. There is an infinite number of solutions.
The solution for the system of equations can be found by finding the values of x and y that satisfy both equations. Looking at the table, we can see that the y-values for the equation y=2x-5 match the y-values for the equation y=x-3 when x=2. Therefore, the solution for the system is (2, -1). So the correct answer is:
(2,−1)