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.
The solution for the system of equations is when both equations are equal.
y = 2x - 5
y = x - 3
Setting the two equations equal to each other:
2x - 5 = x - 3
Subtracting x from both sides:
x - 5 = -3
Adding 5 to both sides:
x = 2
Using x = 2 in the first equation:
y = 2(2) - 5
y = 4 - 5
y = -1
Therefore, the solution for the system of equations is x = 2 and y = -1.