Question

y = 2x - 1y=9x + 6Does this system have a solution? If so, what is the solution? Explain. helppp

Answer 1

The given system is,

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

From the first equation, we have,

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

Substituting this value in the second equation, we have,

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

Therefore,

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

Thus, y = -3 and x = -1

Thus, the system has solution.