Question

PLZZZZ ANSWER ASAP.The blue line is the graph of y = –x + 3. Use the sliders to make the orange line represent y = –2x + 9. Examine the graph. What appears to be the solution of this system of equations?

Answer 1

We have been given a system of equations. $y =-x + 3$ and $y =-2x + 9$. We are asked to find the solution of our given system of equations.

The solution of our given system of equations will be the point, where both lines will intersect.

To find intersection point, we will equate both equations as:

$-x + 3=-2x + 9$

$-x + 3-3=-2x + 9-3$

$-x=-2x +6$

$-x+2x=-2x+2x +6$

$x=6$

Now we will substitute $x=6$ in equation  $y =-x + 3$ and solve for y.

$y =-x+ 3\Rightarrow -6+3=-3$

Therefore, the point $(6,-3)$ is the solution of our given system of equations.

We can verify our answer by graphing both equations.

Answer 2

Answer:

(6,-3) and -3=-3

Step-by-step explanation:

this is for the drop down menu i guessed and got it right