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प्रश्न
Solve the following pair of equations algebraically:
101x + 102y = 304
102x + 101y = 305
बेरीज
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उत्तर
101x + 102y = 304 ....(i)
102x + 101y = 305 ....(ii)
203x + 203y = 609 ....(Add)
x + y = `609/203`
x + y = 3 .....(iii)
Subtract equation (i) from (ii),
101x + 102y = 304
102x + 101y = 305
− − −
−x + y = −1 .....(iv)
Solving equations (iii) and (iv),
x + y = 3
−x + y = −1 ......(Add)
2y = 2
y = `2/2`
y = 1
Put the value y in equation (iii),
x + 1 = 3
x = 3 − 1
x = 2
∴ x = 2, y = 1
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