Question

solve this in substitutional method of linear equation in two variable
$2x - y + 5 = 0 \\ x - 2y + 3 = 0$
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Answer 1

Step by step explanation

The given equations may be written as

• 2x - y = - 5 ... (i)
• x - 2y = - 3 ... (ii)

From (i), we get: x = (-5) + y

2

Substituting the value of x in (ii), we get:

• (-5) + y - 2y = - 3

2 1

• (-5) + y - 4y = - 3

2

• (-5) + y - 4y = (- 3) × 2
• -5 - 3y = - 6

• - 3y = (- 6) + 5
• - 3y = - 1

• y = - 1

- 3

• y = 1 / 3

Putting y = 1 / 3 in (i), we get:

• 2x - 1 = - 5

3

• 6x - 1 = - 5

3

• 6x - 1 = (- 5) × 3
• 6x - 1 = - 15

• 6x = (- 15) + 1
• 6x = - 14

• x = - 14

6

• x = - 7

3

x = - 7 / 3 , y = 1 / 3

PROVE

To prove, we will put the value of

x and y in eq. (i). Then,

• 2 × (- 7) - 1 = - 5

3 3

• (-14) - 1 = - 5

3 3

• - 15 / 3 = - 5
• - 5 = - 5

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Answer 2

Answer:

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