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Find the value of x and y:
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8

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x = 2 and y = 3

x = 10 and y = -10

x = 20 and y = -10

x = 5 and y = -10

answer is A.

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Detailed Solution

Given system of equations are:

0.4x + 0.3y = 1.7 —-(i)

0.7x - 0.2y = 0.8 —-(ii)

Multiplying (i) by 0.2 and (ii) by 0.3 and adding them, we get

0.8x + 2.1x = 3.4 + 2.4

2.9x = 5.8

x = 2

Now, substituting x = 2 in (i), we have

0.4 × 2 + 0.3y = 1.7

0.3y = 1.7 - 0.8

y = 3

Hence, x = 2 and y = 3.

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