Answered

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Does the point [tex]$(6,6)$[/tex] satisfy the equation [tex]$y=x$[/tex]?

A. Yes
B. No

Sagot :

GinnyAnswer
To determine whether the point [tex]\((6,6)\)[/tex] satisfies the equation [tex]\(y = x\)[/tex], let's evaluate it step-by-step:

1. Identify the coordinates of the point: The point given is [tex]\((6, 6)\)[/tex]. This means [tex]\(x = 6\)[/tex] and [tex]\(y = 6\)[/tex].

2. Substitute the coordinates into the equation: The equation provided is [tex]\(y = x\)[/tex]. Substitute [tex]\(x = 6\)[/tex] and [tex]\(y = 6\)[/tex] into this equation.

[tex]\[ y = x \implies 6 = 6 \][/tex]

3. Check the equality: Upon substituting the values, we have:

[tex]\[ 6 = 6 \][/tex]

4. Verify the result: Since the left-hand side (LHS) equals the right-hand side (RHS) of the equation (both are 6), the point [tex]\((6,6)\)[/tex] does indeed satisfy the equation [tex]\(y = x\)[/tex].

Therefore, the statement is true:

Yes, the point [tex]\((6,6)\)[/tex] satisfies the equation [tex]\(y = x\)[/tex].
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