If x + y = p, a)Express (x + y)2 + 3(x + 2y) – 4 = 0, interms of p b)Solve the equation formed in...

      

If x + y = p,
a)Express (x + y)2 + 3(x + 2y) – 4 = 0, interms of p
b)Solve the equation formed in a) above for p
c)Hence write down the two possible values of x + 2y
d)Given further that x – 2y = 4, find all possible values of x and y, as fractions where possible

  

Answers


Kavungya
a)p2 + 3p – 4 = 0

b)p2 – 4p – p – 4 = 0
(p + 4) (p - 1) = 0
p = 1, -4

c)x + 2y = 1
or
x + 2y = -4

d)x – 2y = 4
x + 2y = 1
2x = 5 ?x = 2 ½
y = ¾
x – 2y = 4
x + 2y = -4
2x = 0 ? x = 0
y = -2
Kavungya answered the question on October 12, 2019 at 05:51


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