A. The system has infinity many solutions.
we can conclude both rovers have the same road, and they started at the same time
Explanation
[tex]\begin{gathered} y=1.6x-4\text{ Equation(1)} \\ 3y=4.8x-12\text{ Equation(2)} \end{gathered}[/tex]
Step 1
Let
y represents the elevation
x represents the time
to solve for x, multiply equation(1) by -3 and then add the result to Equation (2)
[tex]\begin{gathered} y=1.6x-4\text{ Equation(1) by -3} \\ -3y=-4.8+4\text{ Equation(3)} \\ \text{now, add equation (3) and equation(2)} \\ \\ -3y=-4.8x+12 \\ 3y=4.8x-12 \\ ----------- \\ 0=0+0 \\ 0=0 \end{gathered}[/tex]when you get a solution like this
[tex]0=0[/tex]it means the system has infinite solutions,so the answer is
A. The system has infinity many solutions.
we can conclude both rovers have the same road, and they started at the same time.
I hope this helps you
