Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Given the system of equations:
[tex]\left \{ {{5x + 6y = 1} \atop {y = -5x + 6}} \right.[/tex]
Solve for "y" from the first equation in order to write it in Slope-Intercept form:
[tex]5x + 6y = 1\\\\6y=-5x+1\\\\y=-\frac{5}{6}x+\frac{1}{6}[/tex]
Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.
