A polynomial in standard form has terms arranged with the highest exponent on leftmost side and the lowest exponent on the right end. The variables are also arranged alphabetically.
Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.
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ANSWER
The ratio in the simplified form is
80:3
EXPLANATION
We want to express 20 gallons to 0.75 gallons as a ratio in its simplest form.
We obtain the ratio as follows:
This is the same as
We multiply each term in the ratio by 4 to obtain;
This gives us,
Answer:
the solution is (-1, 2)
Step-by-step explanation:
Let's solve the system
(3x + 4y = 5)
(2x - 3y = -8)
using the method of elimination by addition and subtraction. Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:
9x + 12y = 15
8x - 12y = -32
-----------------------
17x = - 17, so x = -1.
Replacing x in the second equation by -1, we get:
2(-1) - 3y = -8, or
2 + 3y = 8,
or 3y = 6. Thus, y = 2, and the solution is (-1, 2).
