Question

is a solution of the equation $y=6x+2.$

• A. $(1,8)$
• B. $(0,1)$
• C. $(2,0)$
• D. $(-1,2)$

Answer 1

Answer: (A), (B)

$(0,1)$

Consider the equation $y=6x+2.$
If a point $(a,b)$ is a solution of the equation, then it satisifes the equation.
$\therefore$ To check if $(1,8)$ is a solution of the equation, substitute $x=1$ and $y=8$ in the equation.
$⟹6\left(1\right)+2=8$
$⟹$ $(1,8)$ is a solution of the given equation.
Similarly, substituting $x=0$ and $y=1$ in the equation, we get
$6\left(0\right)+2=2\ne 1.$
$⟹$ $(0,1)$ is not a solution of the equation.
Similarly on substituting $x=2$ and $y=0$ in the equation, we get
$6\left(2\right)+2=14\ne 0.$
$⟹$ $(2,0)$ is not a solution of the equation.
Similarly, substituting $x=-1$ and $y=2$ in the equation, we get
$6(-1)+2=-4\ne 2.$
$⟹$ $(-1,2)$ is not a solution of the equation.