11x + 4y = 33 ; 4x + 11y = 12 find x+y=? *
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24
Answer:
x + y = 3
Step-by-step explanation:
4x + 11y = 12 --------(1)
11x + 4y = 33 ------(2)
therefore,
4x + 11y = 12
x= (12- 11y)/4
put the value of x in eq. 2
11[(12-11y)/4] + 4y = 33
(132 - 121y)/4 + 4y = 33
(132 - 121y + 16y)/4 = 33
132 - 105y = 33*4
105y = 132- 132
y = 0/105 = 0
x= (12- 11y)/4
x= (12 - 11*0)/4 = 12/4 = 3
therefore , x + y = 3
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