Question

What is the solution of the system of equations? Explain.18x+15-y=05y=90x+12

Answer 1

The given system is

`\begin{cases}18x+15-y=0 \\ 5y=90x+12\end{cases}`

First, we multiply the first equation by 5.

`\begin{cases}90x+75-5y=0 \\ 5y=90x+12\end{cases}`

Then, we combine the equations

`\begin{gathered} 90x+75-5y+5y=90x+12 \\ 90x+75=90x+12 \\ 75=12 \end{gathered}`

Given that the result is not true (75 is not equal to 12), we can deduct that the system has no solutions.