Question

Describe how to substitute an ordered pair into an equation.

Answer 1

Let's say you have the equation

5x + 3y = 11

You are asked to test the ordered pair (1, 2) to see if it is a solution of the equation. A solution of the equation will make the equation a true statement. The ordered pair (1, 2) has 1 as its x-coordinate and 2 as its y-coordinate.
Substitute 1 for x and 2 for y in the equation. Then work it out to see if it is a true statement.

5x + 3y = 11

5(1) + 3(2) = 11

5 + 6 = 11

11 = 11

Since 11 = 11 is a true statement, the ordered pair (1, 3) is a solution of the equation.