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.

1 answer

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)