For which a does the equation ah-7 = 4x-a have no solutions?
| August 16, 2021 | education
To answer the question, we express x through a:
a * x – 7 = 4 * x – a;
a * x + a – 7 = 4 * x;
a – 7 = 4 * x – a * x;
a – 7 = x * (4 – a);
x = (a – 7) / (4 – a).
And now remember that division by zero is unacceptable, which means that the equation has no solutions if a = 4:
4 – a = 0;
a = 4.
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