Answer
None of the above
Explanation
Given the following inequalities
y <= -4x + 6 and, y <= 6x + 6
Step 1: Turn the inequalities to an equation
y = -4x + 6 --------------- equation 1
y = 6x + 6 --------------- equation 2
Equate equation 1 and 2 to together
-4x + 6 = 6x + 6
Collect the like terms
-4x - 6x = 6 - 6
-10x = 0
Divide both sides by -10
-10x/-10 = 0/-10
x = 0
To find y,Substitute the value of x = 0 into the equation
y = -4x + 6
y = -4(0) + 6
y = 0 + 6
y = 6
Therefore, x = 0 and y = 6
