Answer:
3x - y = 12 and x + 2y = - 10
Step-by-step explanation:
The first straight line passes through the points (2,-6) and (4,0).
Therefore, the equation of the straight line from two point form
[tex]\frac{y - 0}{0 - (- 6)} = \frac{x - 4}{4 - 2}[/tex]
⇒ y = 3(x - 4) = 3x - 12
⇒ 3x - y = 12 .......... (1)
Again, the second straight line passes through the points (2,-6) and (0,-5).
Therefore, the equation of this straight line will be
[tex]\frac{y - (- 5)}{- 5 - (- 6)} = \frac{x - 0}{0 - 2}[/tex]
⇒ - 2(y + 5) = x
⇒ x + 2y = - 10 ......... (1)
Therefore, (1) and (2) are the system of equations. (Answer)
