Question

Solve the following equation and check your results: $5t-3=3t-5$

Answer 1

Step 1: Solve the given equation by Rearranging and combining the like terms.

$\begin{array}{l}5t-3=3t-5\\ \Rightarrow 5t-3t=-5+3\\ \Rightarrow 2t=-2\\ \Rightarrow t=\frac{-2}{2}\\ \Rightarrow t=-1\end{array}$

Step 2: Verify the result by substituting $t=-1$in the given equation.

$\begin{array}{l}5\times \left(-1\right)-3=3\times \left(-1\right)-5\\ \Rightarrow -5-3=-3-5\\ \Rightarrow -8=-8\\ \Rightarrow \mathrm{LHS}=\mathrm{RHS}\end{array}$

Hence the solution of $5t-3=3t-5$ is $t=-1$and it is verified.