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4. Linear Equations in Two Variables
easy
From the choices given below, choose the correct equation whose graph is given in following figure.
$x+y=4$
$x+y=5$
$x+y=6$
$3 x+2 y=12$
Option A
Option B
Option C
Option D
Solution
The equation $x+y=4$ is satisfied by point $(4,0)$ but not by the remaining two points.
The equation $x+y=5$ is satisfied by point $(2,3)$ but not by the remaining two points.
The equation $x+y=6$ is satisfied by the point $(0,6)$ but not by the remaining two points.
The equation $3 x+2 y=12$ is satisfied by all three points, since
$3(4)+2(0)=12$
$3(2)+2(3)=12$ and
$3(0)+2(6)=12$
Hence, the graph shown in the figure is the graph of equation $3 x+2 y=12$.
Standard 9
Mathematics
