Question

How would i solve these equations 9x+y=16Y=7x

Answer 1

Starting from the given system of equations:

`\begin{gathered} 9x+y=16 \\ y=7x \end{gathered}`

Since the variable y is already isolated in the second equation, we can use the substitution method to solve the system.

Replace y by 7x on the first equation:

`\begin{gathered} 9x+y=16 \\ \Rightarrow9x+7x=16 \\ \Rightarrow16x=16 \\ \Rightarrow x=1 \end{gathered}`

Then. substitute the value x=1 back into the second equation to find the value of y:

`\begin{gathered} y=7x \\ \Rightarrow y=7(1) \\ \Rightarrow y=7 \end{gathered}`

Therefore, the solution for this system of equations is:

`\begin{gathered} x=1 \\ y=7 \end{gathered}`