Which ordered pairs in the form (x, y) are solutions to the equation

2 answers:

const2013 [10]3 years ago

8 0

Remember that a solution to an equation is a coordinate pair that makes a true statement.

So, for each of these coordinate pairs, plug in the x coordinate for the x in your equation and the y coordinate for the y in your equation.

Example:
5x + 3y = 8;
which of these is a solution?
(1,1)
(-3, 2)

For each coordinate pair provided, I'm going to plug it back into my original equation:

SO: for (1,1)
5x + 3y = 8
5(1) + 3(1) = 8
5 + 3 = 8
8 = 8 <--- This is a true statement. (1,1) IS a solution to this equation.

For (-3,2)
5x + 3y = 8
5(-3) + 3(2) = 8
-15 + 6 = 8
-9 = 8 <---- This is NOT a true statement. (-3,2) is not a solution to this equation.

You have to do the same thing!! Plug each of your answer choices into your original equation. Solve it out. If you end up with a TRUE statement, the coordinate pair IS a solution. If you end up with a FALSE statement, the coordinate pair is NOT a solution!