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Date:___________________

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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.

Name: ___________________

Date:___________________

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

Q 1: Find the solution set of natural numbers such that x+y = 8.
{(1,7), (2,6), (3,5), (4,4), (5,6), (6,2),}
{(1,7), (2,6), (3,5), (4,4), (5,5), (6,2), (7,1)}
{(1,7), (2,6), (3,5), (4,4), (5,3), (6,2), (7,1)}
{(1,7), (3,5), (4,4), (4,3), (6,2), (7,1)}

Q 2: Find the solution set of natural numbers such that x+y = 5.
{(1,4),(2,3),(3,2),(4,1)}
{(1,4),(2,3),(5,1)}
{(1,4),(3,3),(4,1)}
{(2,3),(3,2),(4,1),(5,1)}

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