Question

Find as many solutions to x+y = 11 using only whole numbers for x and y

Answer 1

To solve x + y = 11 with whole numbers, start with x=0 and increase x by 1 each step, calculating the y that satisfies the equation until y would be negative.

The whole number solutions are (0,11), (1,10), ..., (11,0).

Step-by-step explanation:

To solve the mathematical problem completely, we have the equation x + y = 11 where we need to find all solutions using only whole numbers for x and y.

A systematic approach to find the solutions is by starting with x equal to 0 and then increasing x by 1 in each subsequent step while calculating the corresponding y value that satisfies the equation.

Here's how you can approach it:

1. Let x = 0, then y = 11.
2. Increase x by 1, so let x = 1, then y = 10.
3. Continue this process until you reach a point where an increment in x would make y negative, which would not be a whole number anymore.

Using this method, you will find the following pairs of whole numbers (x,y) that solve the equation: (0, 11), (1, 10), (2, 9), (3, 8), (4, 7), (5, 6), (6, 5), (7, 4), (8, 3), (9, 2), (10, 1), and (11, 0).