Question Determine if the point $(5,5)$ satisfies the equation $y=x$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $y = x$ .
2. We are given the point $(5,5)$ .
3. We need to determine if substituting $x = 5$ and $y = 5$ into the equation $y = x$ makes the equation true.

STEP 2

Substitute the given values of $x$ and $y$ from the point $(5,5)$ into the equation $y = x$ .
$y = x$
$5 = 5$

STEP 3

Check if the left-hand side (LHS) is equal to the right-hand side (RHS) after the substitution.
Since $5 = 5$ is a true statement, the point $(5,5)$ does make the equation $y = x$ true.
Therefore, the answer is "yes".

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