2x - 5y- 4 = 0 and 3x - 8y-5=0
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x = 7, y = 2
Step-by-step explanation:
2x - 5y - 4 = 0
∴2x - 5y = 4 -----(1) and
3x - 8y - 5 = 0
∴3x - 8y = 5 -----(2)
∴By multiplying equation 1 by 3 and equation 2 by 2 we get,
6x - 15y = 12 ......(From equation 1) -----(3)
6x - 16y = 10.....(From equation 2) -----(4)
∴By subtracting equation 4 from 3 we get,
y = 2.
Then by substituting y = 2 in equation 1 we get,
2x - 5(2) = 4
∴2x - 10 = 4
∴2x = 4 + 10
∴2x = 14
∴x =
∴x = 7
∴x=7 and y=2 is the solution of the given simultaneous equations
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