Answer:
Explanation:
1). Equations of the system are,
y = -4x + 11 ------(1)
-6x + y = 11
y = 6x + 11 -----(2)
Since, both the equations are neither similar nor parallel,
Therefore, there will be one solution.
2). y = x + 6 ---------(1)
3x - 3y = -18
Further simplify the equation,
x - y = -6
y = x + 6 --------(2)
Since, both the equations of the system are similar, there will be infinitely many solutions.
3. y = -2x + 5 ------(1)
Slope of the equation = -2
2x + y = -7
y = -2x - 7 ------(2)
Slope of the equation = -2
Since, slopes of both the equations are equal in measure,
Equations will have no solution.