if 4 x + 3 Y is equal to 39 and 3 x minus 4 Y is equal to 10 then find the value of x and y
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Step-by-step explanation:
Given,
4x + 3y = 39 ..... Equation 1
3x - 4y = 10 ...... Equation 2
Multiply equation 1 by 3,
12x + 9y = 117 .... Equation 3
Multiply equation 2 by 4,
12x - 16y = 40 ..... Equation 4
Subtracting Equation 4 from 3
we get,
25y = 77
y = 77/25
From equation 2,
3x - 4y = 10
3x - 4*77/25
3x = 10 + 318/25
3x = 568/25
x = 568/75
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