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### Middle/High School Algebra, Geometry, and Statistics (AGS)1.17 Solution Set - I

Linear equations in two variables:
Any equation of the first degree having two variables such as x and y is called a linear equation in two variables.

Example:
Find the solution set of natural numbers such that x + y = 4.

Solution:
Equationy Value Solution
Take x = 11 + y = 4 3 (1,3)
Take x = 22 + y = 2 2 (2,2)
Take x = 33 + y = 4 1 (3,1)
Therefore, Solution set = {(1,3), (2,2), (3,1)}

Directions: Solve the following equations. Also write at least ten examples of your own.
 Q 1: Find the solution set of natural numbers such that x+y = 6.{(1,5),(3,3),(4,2),(5,1),(6,1)}{(1,5),(2,4),(3,3),(4,2),(5,1)}{(2,4),(3,3),(4,2),(5,0)}{(1,5),(2,4),(3,4),(4,2)} Q 2: Find the solution set of natural numbers such that x+y = 10.{(1,9),(2,8),(3,7),(4,6),(5,6),(6,4),(7,3),(8,2)}{(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,1),(9,1)}{(1,9),(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2),(9,1)}{(1,9),(3,7),(4,6),(5,5),(6,4),(7,2),(8,2),(9,1)} Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!

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