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4. Linear Equations in Two Variables
easy
Write whether the following statements are True or False? Justify your answers:
The graph of the linear equation $x+2 y=7$ passes through the point $(0,7).$
Option A
Option B
Option C
Option D
Solution
Substituting $x=0$ and $y=7$ in the given equation $x+2 y=7,$ we get
$0+2(7)=7 \Rightarrow 14=7,$ which is false.
The point $(0,7)$ does not satisfy the equation.
Hence, the given statement is false.
Standard 9
Mathematics