Question

Solve the equation. Check your solution.

$5–4t=6$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow 5–4t=6$

$\Rightarrow 5–4t–5=6–5$ [ Subtract $5$ from both sides ]

$\Rightarrow –4t=1$

$\Rightarrow \frac{-4t}{-4}=\frac{1}{-4}$ [ Divide both sides by $-4$ ]

$\therefore t=-\frac{1}{4}$

Step 2 : Checking the solution

Check the solution by putting$t=-\frac{1}{4}$, in the given inequality

We have,

$\Rightarrow 5–4t=6$

$$\begin{gathered} \Rightarrow 5–\left(4\times -\frac{1}{4}\right)=6 \\ \Rightarrow 5-(-1)=6 \\ \Rightarrow 5+1=6 \\ \Rightarrow 6=6 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$ {Satisfied}

Hence, the required solution is$t=-\frac{1}{4}$