Use a table to find two consecutive integers between which the solution lies. 5.2 equals 1.9 minus 0.6 y5.2=1.9−0.6y Between what two consecutive integers does the solution​ lie?
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1 Answer

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.

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