Question

Solve the following simultaneous equations in two variables by the method of comparison ​

Answer 1

Answer:

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Answer 2

Question :-

Solve the following simultaneous equations in two variables by the method of comparison

x/3 + y/4 = 1, 2x + 4y = 11

Required Answer :-

x/3 + y/4 = 1

Multiply throughout by 12 - (LCM)

12 x (x/3) + 12 x (y/4) = 12 x 1

4x + 3y = 12 -(i)

2x + 4y = 11 -(ii)

Multiply equation (ii) by 2

2x + 4y = 11

x 2

___________

4x + 8y = 22 - (ii)

subtracting equation (i) from (iii)

4x + 8y = 22

- 4x - 3y = -12

___________

5y = 10

y = 10/5

y = 2

put y = 2 in equation (i)

4x + 3y = 12

4x + 3(2) = 12

4x + 6 = 12

4x = 12 - 6

4x = 6

x = 6/4

x = 3/2

x = 1.5

Therefore, solution for (x, y) is (1.5,2)

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