Complete the given table for equation
4 x + y = 9
x y 4 ,12, 7,1, 3
-1
3
2
5
9
To complete the table for the equation 4x + y = 9, we need to substitute each given value of x in the equation and solve for the corresponding value of y. Let's go step-by-step to find the missing values.
1. x = 4
Substituting x = 4 in the equation gives us:
4(4) + y = 9
16 + y = 9
Subtracting 16 from both sides:
y = 9 - 16
y = -7
Therefore, when x = 4, y = -7.
2. x = -1
Substituting x = -1 in the equation gives us:
4(-1) + y = 9
-4 + y = 9
Adding 4 to both sides:
y = 9 + 4
y = 13
Therefore, when x = -1, y = 13.
3. x = 3
Substituting x = 3 in the equation gives us:
4(3) + y = 9
12 + y = 9
Subtracting 12 from both sides:
y = 9 - 12
y = -3
Therefore, when x = 3, y = -3.
4. x = 2
Substituting x = 2 in the equation gives us:
4(2) + y = 9
8 + y = 9
Subtracting 8 from both sides:
y = 9 - 8
y = 1
Therefore, when x = 2, y = 1.
5. x = 5
Substituting x = 5 in the equation gives us:
4(5) + y = 9
20 + y = 9
Subtracting 20 from both sides:
y = 9 - 20
y = -11
Therefore, when x = 5, y = -11.
Thus, the completed table is as follows:
x | y
------------
4 | -7
-1 | 13
3 | -3
2 | 1
5 | -11
9 | -