Question

consider the following system of equations. how solutions does it have (infinite, one, or no solutions). explain how you can tell without solving the system.3y = -6x + 9y= -2x + 3

Answer 1

The equation of line are,

3y = -6x + 9

y = -2x + 3.

Simplify the equation 3y = -6x + 9.

`\begin{gathered} 3y=-6x+9 \\ y=(1)/(3)(-6x+9) \\ =-2x+3 \end{gathered}`

So equation 3y = -6x + 9 is equal to y = -2x + 3. The equation has same slope and y intercept. Thus lines lie on each other on the graph and have infinite many solution.

Answer: Infinite solutions