For the equation 3x + 7y = 17 the ordered pairs are:
- (-8, -2) not a solution.
- (5, 3) not a solution.
- (-6, 5) a solution.
- (8, -1) a solution.
How to check if an ordered pair is a solution?
Here we have the equation:
3x + 7y = 17
We need to replace the values of x and y for the ones in each point, and we need to check if the equation is true or false.
For the first point we have (-8, -2), we will have:
3*-8 + 7*-2 = 17
-24 -14 = 17
-38 = 17
This is false.
2) (5, 3)
3*5 + 7*3 = 17
15 + 21 = 17
36 = 17
This is false.
3) (-6, 5)
3*-6 + 7*5 = 17
-18 + 35 = 17
17 = 17
This is true.
4) (8, -1)
3*8 + 7*-1 = 17
24 - 7 = 17
17 = 17
This is true.