To determine whether the point [tex]\((-3, 3)\)[/tex] is a solution to the equation [tex]\(y = x\)[/tex], we need to check if substituting the coordinates of the point into the equation satisfies it.
1. The equation given is [tex]\(y = x\)[/tex].
2. The coordinates of the point are [tex]\((-3, 3)\)[/tex], where [tex]\(x = -3\)[/tex] and [tex]\(y = 3\)[/tex].
3. Substituting [tex]\(x = -3\)[/tex] and [tex]\(y = 3\)[/tex] into the equation [tex]\(y = x\)[/tex], we obtain:
[tex]\[
3 = -3
\][/tex]
Since [tex]\(3\)[/tex] does not equal [tex]\(-3\)[/tex], the point [tex]\((-3, 3)\)[/tex] does not satisfy the equation [tex]\(y = x\)[/tex].
Therefore, the answer is no.
