Write whether the following statement is True or False. Justify your answer:
The graph of the linear equation $x + 2y = 7$ passes through the point $(0, 7).$
The graph of the linear equation $x + 2y = 7$ passes through the point $(0, 7).$
(FALSE) To check if the graph of the linear equation $x + 2y = 7$ passes through the point $(0, 7)$,we substitute $x = 0$ and $y = 7$ into the equation.
Substituting the values:
$0 + 2(7) = 7$
$0 + 14 = 7$
$14 = 7$
Since $14 \neq 7$,the point $(0, 7)$ does not satisfy the equation.
Therefore,the statement is False.
Substituting the values:
$0 + 2(7) = 7$
$0 + 14 = 7$
$14 = 7$
Since $14 \neq 7$,the point $(0, 7)$ does not satisfy the equation.
Therefore,the statement is False.
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