The equation that will have an equation that doesn't have a solution of a = 1 will be a - 5 = 4a.
How to illustrate the information?
9a = 3a - 6
Collect like terms
9a - 3a = -6
6a = -6
a = -6/6
a = -1
-5 + a = 6a
-5 = 6a - a
5a = -5
a = -5/5
a = -1
a - 5 = 4a
4a - a = -5
3a = -5
a = -5/3
-23 + a/2 = 12a
-23 + a = 12a × 2
-23 + a = 24a
-23 = 24a - a
23a = -23
a = -23/23
a = -1
Therefore, the equation that will have an equation that doesn't have a solution of a = 1 will be a - 5 = 4a.
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