# Thread: solution set for y = 2x - 5

1. ## solution set for y = 2x - 5

What would ALL possible solutions be for the equation y = 2x - 5

x
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
y
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

x
-6
-7
-8
-9
-10
-11
-12
-13
-14
-15

y
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10

2. There are infinite solutions since the domain is all the real numbers. For example $(\pi , 2\pi -5)$

3. Originally Posted by hansfordmc
What would ALL possible solutions be for the equation y = 2x - 5

[snip]
All possible solutions are given by the coordinates of all points that lie on the line y = 2x - 5.

Alternatively, the solution is x = t and y = 2t - 5 where t is any real number.

4. Thanks people. So, no real number would be excluded from the solution set.

5. The solutions are not numbers; they are ordered pairs.
So every real number shows up as the first coordinate and as the second coordinate (but never at the same time in this example!)