Answer:
x y₁ y₂
0 -5 3
1 -4 0
2 -3 -3
3 -2 -6
Explanation:
To find the solution set, you input the given x values into the equations.
To find y₁, we plug x (0, 1, 2, 3) into the first equation (-x + y = -5) and isolate y:
When x = 0:
-0 + y = -5
y = -5
When x = 1:
-1 + y = -5
y = -4
When x = 2:
-2 + y = -5
y = -3
When x = 3:
-3 + y = -5
y = -2
To find y₂, we plug x (0, 1, 2, 3) into the second equation (3x + y = 3) and isolate y:
When x = 0:
3(0) + y = 3
y = 3
When x = 1:
3(1) + y = 3
3 + y = 3
y = 0
When x = 2:
3(2) + y = 3
6 + y = 3
y = -3
When x = 3:
3(3) + y = 3
9 + y = 3
y = -6
Thus, the table is:
x y₁ y₂
0 -5 3
1 -4 0
2 -3 -3
3 -2 -6
Plug these values into the graph: