x/3+y/4= 11 and 5x/6_y/3+7=0 solve by elimination method
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arunanand30:
correct answer is x= 6 and y=36
Answered by
5
Answer: x = 6 and y = 36
Step-by-step explanation:
x/3 + y/4 = 11
4x +3y = 132 (i)
5x/6 - y/3 + 7 = 0
5x - 2y = -42 (ii)
from (i) and (ii) we get:
4x + 3y = 132 (i)
5x - 2y = -42 (ii)
multiplying (i) by 2 and (ii) by 3 we get:
8x +6y = 264 (iii)
15x - 6y = -126 (iv)
adding (iii) and (iv) we get:
23x = 138
x = 138/23 = 6
so, x = 6
putting x in (i) we get:
4x + 3y = 132
4 × 6 +3y = 132
24 + 3y = 132
3y = 132 - 24
3y = 108
y = 108/36
so, y = 36.
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