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Find the values of
x and
y. Write your answers in simplest form.

Find the values of $x$ and $y$ . Write your answers in simplest form.

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Roots of integers

Full solution

Q. Find the values of

x

and

y

. Write your answers in simplest form.

Identify Equations Given: Step $1$ : Identify the equations given for $x$ and $y$ . Assuming the equations are $x + y = 10$ and $x - y = 2$ .
Solve for x: Step $2$ : Solve for x using elimination method. $\newline$ Add the two equations: $(x + y) + (x - y) = 10 + 2$ . $\newline$ $2x = 12$ . $\newline$ $x = \frac{12}{2}$ . $\newline$ $x = 6$ .
Substitute to Find y: Step $3$ : Substitute the value of $x$ into the first equation to find $y$ . $x + y = 10$ . $6 + y = 10$ . $y = 10 - 6$ . $y = 4$ .

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\newline

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\newline

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\newline

1

\newline

(A) The limit exists, and we found it!

\newline

(B) The limit doesn't exist (probably an asymptote).

\newline

(C) The result is indeterminate.

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