Question

How many solutions does a linear equationin one variable have

Answer 1

No. There are more possibilities. However, the only possibilities are:

1)no solution at all
2)single solution
3)an infinity of solutions

Here are examples of all of the above, illustrated using a single linear equation in one real variable/unknown x:

0x=1
1x=1
0x=0
The above are the only options also when one considers a system of m linear equations in n variables (I’ve illustrated this for m=1 and n=1). This is something one would learn in a first university level course on linear algebra.

Answer 2

A linear equation in one variable has solutions —
None, One , and infinitely many solutions.


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