Question

3x+4y=30,x+2y=12 by elimination method

Answer 1

Answer:

x=6; y=3

Step-by-step explanation:

Given:

3x+4y = 30.........equation (1)

x+ 2y = 12.............equation (2)

In elimination method, we need to manipulate the equations in such manner that one of the variables gets eliminated  and only one variable remains.

So multiplying equation (2) by 3 we get

3x + 6y = 36

Now subtracting the above equation from equation (1) we get-

3x + 4y - 3x - 6y = 30 - 36

or -2y = -6

or y = 3

Putting the value of y in equation (1) , we get

3x + 4*3 = 30

or 3x = 30-12= 18

or x= 6

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