Answer:
infinite solutions
Step-by-step explanation:
The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:
(15x +12y) -3(5x +4y) = (18) -3(6)
0 = 0 . . . . . simplify (true for all values of x or y)
The system of equations has an infinite number of solutions.
3 copies of 1/6 is 3/6 and when simplified it equals 1/2<span />
An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).
<h3>The importance of mathematical proofs.</h3>
Generally, some of the importance of mathematical proofs include the following:
- They elucidate on why a conjecture is false (untrue).
- It provides a rational and logical justification for a theory.
In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:
- It leads to the misinterpretation of concepts and theories.
- It produces wrong results.
Outside the world of geometry, there are different kinds of proofs and these include:
- The Big Bang theory.
- Reflection of light by a plane mirror.
- Surface tension in water.
Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.
Read more on proofs here: brainly.com/question/26283907
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