Question

solve the following system of equation graphically :
x+3y=6 and 2x-3y=12 and hence find the value of 'a',if 4x+3y=a

Answer 1

Answer:

The value of a is 24 .

Step-by-step explanation:

As given the equations

x + 3y = 6

2x - 3y =12

Multiply x + 3y = 6 by 2 and subtracted from 2x - 3y = 12 .

2x  - 2x -3y - 6y = 12 - 12

-9y = 0

y = 0

Putting value of y in  the x + 3y = 6 .

x + 3 × 0 = 6

x = 6

Thus

x = 6 , y = 0

As given

4x + 3y = a

Putting the x = 6 , y=0 in the equation

4 × 6 + 3 × 0 = a

24 = a

Therefore the value of a is 24 .

Answer 2

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