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Setler79 [48]
3 years ago
12

Combine the like terms in this expression: –3x + 2xy + 4y – xy + 2x – 11y A. 2xy + 15 B. –7xy C. –X+XY–7y D. 23X + y

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

The correct option is C) –x + xy – 7y.

Step-by-step explanation:

Consider the provided expression.

Rearrange the expression so, that like terms comes together.

–3x + 2x + 2xy – xy + 4y – 11y

Now, add the like terms as shown below:

x(–3 + 2) + xy(2 – 1) + y(4 – 11)

Now, perform the operation inside the parentheses.

x(–1) + xy(1) + y(–7)

Open the parentheses.

–x + xy –7y

Now, compare with the provided options.

By comparison it can be concluded that the correct option is C).

Hence, the correct option is C) –x + xy – 7y.

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\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
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