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Question

3x+4y=85 and 6x+7y=20. Find x and y.


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Solution

Step 1: Changing one equation by multiplying it with a constant.

Given :

3x+4y=85 . . .(i)

6x+7y=20 . . .(ii)

Multiplying equation (i) with 2.

6x+8y=170 . . .(iii)

Step 2: Finding the value of x and y.

Subtracting (ii) from (iii), we get;

6x+8y-6x-7y=170-20y=150

Putting value y of in equation (i)

3x+4(150)=853x=85-6003x=-515x=-5153

Hence, the value x is -5153 and y is 150.


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