To determine whether the point [tex]\((2, 4)\)[/tex] is a solution to the equation [tex]\( y = x \)[/tex], we need to check if, when we substitute [tex]\( x = 2 \)[/tex] and [tex]\( y = 4 \)[/tex] into the equation, the equation holds true.
Let's start by substituting [tex]\( x \)[/tex] and [tex]\( y \)[/tex] into the equation [tex]\( y = x \)[/tex]:
1. Substitute [tex]\( x = 2 \)[/tex] into the equation [tex]\( y = x \)[/tex]:
[tex]\[ y = 2 \][/tex]
2. Compare this result with the given value of [tex]\( y \)[/tex]:
The given value for [tex]\( y \)[/tex] is 4.
Now, let's see if the left side of the equation matches the right side:
[tex]\[ 4 \neq 2 \][/tex]
Since 4 is not equal to 2, the equation [tex]\( y = x \)[/tex] is not satisfied when [tex]\( x = 2 \)[/tex] and [tex]\( y = 4 \)[/tex]. Thus, the point [tex]\((2, 4)\)[/tex] does not satisfy the equation.
Therefore, the answer to the question "Is [tex]\((2, 4)\)[/tex] a solution to the equation [tex]\( y = x \)[/tex]?" is:
No
