1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====
multiplying by the common denominator will get rid of the fractions
Let
be an integer. Suppose there is a triangle with legs of length 16 and
. Then by the Pythagorean theorem, the length of the hypotenuse should be
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
and
are integers, then so are
,
, and
.
However,
is not a perfect square trinomial, which means for any integer
, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
Bearing in mind that
I can make this much from that, check the picture below.
To find equivalent fractions, multiply the numerator<span> AND denominator by the same nonzero whole number. This procedure is used to solve example 4. You can multiply the </span>numerator<span> and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number! Hope this helped! :)</span>
Answer:
The required equation is 6x+5y+57=0.