Find the given table for equation
4 x + y = 9
x = 1; y = 5
x = 2; y = 1
Given table for equation
4 x+ y = 9
To find a table for the equation 4x + y = 9, we need to choose values for x and calculate the corresponding values for y.
Let's choose a range of values for x to build our table. In this case, let's take x = -2, -1, 0, 1, and 2.
Now, substitute each value of x into the equation and solve for y.
For x = -2:
4*(-2) + y = 9
-8 + y = 9
y = 9 + 8
y = 17
For x = -1:
4*(-1) + y = 9
-4 + y = 9
y = 9 + 4
y = 13
For x = 0:
4*(0) + y = 9
0 + y = 9
y = 9
For x = 1:
4*(1) + y = 9
4 + y = 9
y = 9 - 4
y = 5
For x = 2:
4*(2) + y = 9
8 + y = 9
y = 9 - 8
y = 1
Using the chosen values for x, we have calculated the corresponding values for y. Now, we can form the table:
| x | y |
|------|-------|
| -2 | 17 |
| -1 | 13 |
| 0 | 9 |
| 1 | 5 |
| 2 | 1 |
This table represents the values of x and y that satisfy the equation 4x + y = 9.