Answer:
   A) (x, y) = (2-3n, 4n-1) . . . . for any integer n
   B) no solution
Step-by-step explanation:
A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...
   4x +3y = 5
A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:
   (x, y) = (2 -3n, 4n -1)
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B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.
 
        
             
        
        
        
<span>X + 1.5 ≤ 5
X ≤ 3.5
"Julia is allows to watch no more than 5 hours of television"
X ≤ 5
"She has watched 1.5 hours"
X + 1.5 ≤ 5
So the inequality to solve is:
X + 1.5 ≤ 5
Now to solve it, just subtract 1.5 from both sides:
X + 1.5 ≤ 5
X + 1.5 - 1.5 ≤ 5 - 1.5
X ≤ 3.5
So Julia can watch up to 3.5 more hours of TV this week.</span>
        
             
        
        
        
    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)
A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = 

                            y = -x  
 <span>
Thus the gradient of the two equations are different and as such          the two lines are not parallel</span>
B)  When two lines are perpendicular, the product of their gradient is -1                   

                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ 
the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES