Question

Solve each equation. Check your solutions.

$5y-4=9y+8$

Short answer

The$y=-3$ is the solution of the given equation.

Step-by-step solution

Step 1. Given information.

We have an equation $5y-4=9y+8$.

To find the solution of the given equation and check the solution.

Step 2. Calculation.

Solving the given equation:

$\begin{array}{l}5y-4=9y+8\\ \Rightarrow 5y-9y=8+4\\ \Rightarrow -4y=12\\ \Rightarrow y=-3\end{array}$

Step 3. Check the Solution.

We substitute the$y=-3$ in the given equation.

$\begin{array}{l}5y-4=9y+8\\ \Rightarrow 5(-3)-4=9(-3)+8\\ \Rightarrow -15-4=-27+8\\ \Rightarrow -19=-19\\ \Rightarrow L.H.S.=R.H.S.\end{array}$

Hence, the$y=-3$ is the solution of the given equation.