Question

I need help with this topic, an explanation of how you got the answer would be very much appreciated, Thanks :)

( I attached pictures )

Answer 1

the answer no solutions ! bc there’s literally no solution

Answer 2

No Solutions

Explanation:

Hello!

We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.

Subtract

• 
  `\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.`
• 
  `-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.`
• 
  `-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.\\0 = 0 -1 1`
• 
  `0 \\eq -11`

Since 0 does not equal to -11, there are no solutions to the system.

We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.