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4. Linear Equations in Two Variables
easy
Solve the equation $2 y+1=y+4$ and represent the solution(s) on $(1)$ the number line $(2)$ the Cartesian plane.
Option A
Option B
Option C
Option D
Solution

We solve $2 y+1=y+4$
$\therefore 2 y-y=4-1 \quad \therefore y=3$
$( 1 )$ The representation of the solution on the number line is shown in the figure below, where: $y=3$ is treated as an equation in one variable
$(2)$ We know that $y=3$ can be written as $0 x+y=3$
Hence, using three solutions $(0,3),(1,3)$ and $(3,3)$ of this equation, the graph is drawn as below
Standard 9
Mathematics