To solve these types of questions, all what you need to do is simply solve for any one of the variables provided above and substitute the solved variable for the other equation. For instance in the first example:
X/2 - 2y = 5
12y + X - 2 = 0
X = 2 - 12y
(2 - 12y)/2 - 2y = 5
(2 - 12y)/2 = 2y + 5
2 - 12y = 2(2y + 5)
2 - 12y = 4y + 10
16 y + 8 = 0
16y = -8
Y =-8/16 = -1/2.
X = 2 - 12(-1/2)
X = 2 + 6
X = 8.
P(X, y) = P(8, -1/2).
Do the same method, for the other questions, except simplify them before doing so.
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An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
Learn more about Expression:
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For this case we have that by definition:
is equal to:
Applying the distributive property.
Then, it can be seen that the given binomials were multiplied correctly.
ANswer:
There is no error; the binomials were correctly multiplied together.