Question

Fill in the box with ‘Yes’ or ‘No’ according as the value of the variable given satisfies the given equation or not.

Equation	Value of variable	Satisfies the equation Yes/No?
$3(t-3)=2(2t+1)$	$t=-11$	________

Answer 1

For $t=-11$

$$\begin{gathered} L.H.S.=3(t-3) \\ =3(-11-3) \\ =3\times (-14) \\ =-42 \end{gathered}$$

Also,

$$\begin{gathered} R.H.S.=2(2t+1) \\ =2(2\times -11+1) \\ =2(-22+1) \\ =2(-21) \\ =-42 \end{gathered}$$

Clearly, $L.H.S.=R.H.S.$

Hence, $t=-11$ satisfies the given equation.