Question

Y = 2x - 1

y=9x + 6
Does this system have a solution? If so, what is the solution? Explain.

helppp

Answer 1

hello im done her is the answer

\begin{gathered} y\text{ =9(}\frac{y+1}{2})+6 \\ 2y=9y+9+12 \\ -7y=21 \\ y=-3 \end{gathered}

x=\frac{-3+1}{2}=-\frac{2}{2}=-1

Therefore,

Substituting this value in the second equation, we have,

\begin{gathered} 2x=y+1 \\ x=\frac{y+1}{2} \end{gathered}

From the first equation, we have,

\begin{gathered} y=2x-1 \\ y=9x+6 \end{gathered}

Answer 2

To figure it out you would first have to plug in y into the other equation.
So you would do...
2x - 1 = 9x + 6
Now you would solve for x
Put all variables on the same side to solve for x
2x - 9x = 1 + 6
= -7x = 7
x = -1

So yes it does have a solution which is
x = -1
Hope this helps!