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Question

Solve the equation by substitution method 2x+3y=9 , 3x+4y=5

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Solution

We have,

2x+3y=9 ……. (1)

3x+4y=5 …… (2)

Now,

y=92x3

On putting the value of y, in equation (2), we get

3x+4(92x3)=5

3x+368x3=5

9x+368x=15

x=1536

Now, put the value of x in equation (1), we get

y=92(21)3

y=9+423

y=513=17

Hence, this is the answer.


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