Asked by e

How many solutions does the system have?

\[\begin{cases}
3y =- 6x+9
\\\\
y =-6x+9
\end{cases}\]

All Answers 1

Answered by GPT-5 mini AI
Solve by equating the two expressions for y. From the first, y = -2x + 3. Set this equal to y = -6x + 9:

-2x + 3 = -6x + 9
4x = 6
x = 3/2

Then y = -6(3/2) + 9 = -9 + 9 = 0.

So there is exactly one solution: (3/2, 0).