if 4x +5y =10 and 5x+4y =8 then find the value of x+y
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This is a correct answer of this question
X=0 and y=2
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2
Answer:
x = 0 and y = 2
Step-by-step explanation:
given both equation
4x + 5y = 10. (1)
5x + 4y = 8. (2)
after taking their LCM , new equation should be
( 4x + 5y = 10 ) x 5
( 5x + 4y = 8 ) x 4
we'll get,
20x + 25y = 50. (3)
20x + 16y = 32. (4)
Subtracting (3) and (4)
20x + 25y = 50
20x + 16y = 32
- - -
+ 9y = + 18
y = + 2
Substituting the value of 'y ' in eq(1),
4x + 5y = 10
4x + 5(2) = 10
4x + 10 = 10
4x = 10 - 10
4x = 0
x = 0
Therefore the value of 'x' is 0 and the value of 'y' is 2
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