Write whether the following statement is True or False. Justify your answer:
The point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$.
The point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$.
(TRUE) To check if the point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$,we substitute $x = 0$ and $y = 3$ into the equation.
Substituting the values:
$3(0) + 4(3) = 0 + 12 = 12$.
Since the left-hand side equals the right-hand side $(12 = 12)$,the point $(0, 3)$ satisfies the equation.
Therefore,the given statement is True.
Substituting the values:
$3(0) + 4(3) = 0 + 12 = 12$.
Since the left-hand side equals the right-hand side $(12 = 12)$,the point $(0, 3)$ satisfies the equation.
Therefore,the given statement is True.
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