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Question

Find the solution of the given pair of equations
2x+3y=9, 3x+4y=5


A
x = 21, y = 7
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B
x = - 21, y = 17
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C
x = 19, y = 14
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D
x = 20, y = 12
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Solution

The correct option is B x = - 21, y = 17

Given,

2x+3y=9 ...(1)

3x+4y=5 ...(2)

Multiply equation (1) with 3

6x+9y=27 ...(3)

Multiply equation (2) with 2

6x+8y=10 ...(4)

Subtracting (4) from (3):

y=17

Substituting y=17 in (1), we get

2x+3(17)=9

2x=951=42.x=422=21

x=21,y=17


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