This can be rewritten: 0.6y=1.9-5.2=-3.3; y=-3.3/0.6 which is the same as -33/6=-11/2=-5½, which lies midway between -6 and -5.
To use a table we have to decide what numbers to put in it.
On the left-hand side of the equation we have a number bigger than 5; on the right-hand side we have a number less than 2, and we're subtracting from it. The only way we get from 2 to 5 to match the left-hand side is to subtract a negative value. So since 0.6 is positive y must be negative. So the table will contain negative values for y. So we start at -1 for y. The table below shows values of y between -1 and -10.
y |
0.6y |
1.9-0.6y |
-1 |
-0.6 |
2.5 |
-2 |
-1.2 |
3.1 |
-3 |
-1.8 |
3.7 |
-4 |
-2.4 |
4.3 |
-5 |
-3.0 |
4.9 |
-6 |
-3.6 |
5.5 |
-7 |
-4.2 |
6.1 |
-8 |
-4.8 |
6.7 |
-9 |
-5.4 |
7.3 |
-10 |
-6 |
7.9 |
The red rows show that 5.2 lies between 4.9 and 5.5 so the integers are -5 and -6.