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Q.

Find the value of x and y: 

2x + 3y = 0, 3x + 4y = 5 

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a

x = 20 and y = -10

b

x = 10 and y = -10

c

x = 5 and y = -10

d

x = 15 and y = -10

answer is A.

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Detailed Solution

detailed_solution_thumbnail

Given system of equations are: 

2x + 3y = 0  —(i) 

3x + 4y = 5  —(ii) 

Multiply (i) by 4 and (ii) by 3, we get: 

 8x + 12y = 0  —(iii) 

 9x + 12y = 15 —(iv) 

Subtract (iii) from (iv) we get: 

x = 15 

Substitute the value of x = 15 in (i), we get: 

30 + 3y = 0 

3y = -30 

y = -10 

Hence, the solution is x = 15 and y = -10.

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