A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at ri
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For this case we must solve the following system of equations:
We multiply the first equation by -2:
We add the new equation with the second one:
We have different signs subtracted and the sign of the major is placed:
Now we find the value of the variable "y":
Thus, the solution of the system is given by:
Answer:
Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.
We'll let . We want to cut the
bit off completely, so let's create the scalpel that'll let us do that. If
, then we can also say that
. Maybe I was lying a bit: the
is our real scalpel here, and
is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting
off of
) leaves us with:
The operation was a success! We can now simply divide either side by 9 to find , which, when reduced by dividing the numerator and denominator by 3, gives us