Question

Solve the following system of linear equations by substitution method:

2x – y = 2

x + 3y =15

Answer 1

Answer:

Step-by-step explanation:

Here, 2x – y = 2

⟹ y = 2x – 2

⟹ x + 3y = 15  

Substituting the value of y from (i) in (ii), we get

x + 6x – 6 = 15

⟹ 7x = 21  

⟹ x = 3

From (i), y = 2 × 3 – 2 = 4

∴ x = 3 and y = 4

Answer 2

Answer:

The solutions are  x = 3 and y = 4

Step-by-step explanation:

Given equations are

2x – y = 2 ---------------(1)

x + 3y =15 ------------------(2)

Solution

From equation(1)

y = 2x -2 -----------(3)

Substitute the value of 'y' in equation(2)

x+3(2x-2) = 15

x+6x-6 = 15

7x = 21

x = 3

substitute the value of 'x' in equation (3) we get

y = 2 × 3 - 2 = 4

∴ The solutions are x = 3 and y = 4

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