Question

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Q. Solve the following system of linear equations by substitution method:

2x – y = 2

x + 3y =15


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Answer 1

Answer:

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Given

★System of linear equations

• 2x – y = 2
• x + 3y =15

To find

• Value of x and y

Solution

★Here, 2x – y = 2

• ⟹ y = 2x – 2___(i)

Now

★⟹ x + 3y = 15____(ii)

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

• x + 6x – 6 = 15

• ⟹ 7x = 21

• ⟹ x = 3____(iii)

★Substituting the value of x from (iii) in (i), we get

• y = 2 × 3 – 2 = 4

• ∴ x = 3 and y = 4

★Hence x = 3 and y = 4

Hope it helps uhh

Answer 2

✡️Given✡️

★System of linear equations

2x – y = 2

x + 3y =15

To find

Value of x and y

Solution

★Here, 2x – y = 2

⟹ y = 2x – 2___(i)

Now

★⟹ x + 3y = 15____(ii)

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

x + 6x – 6 = 15

⟹ 7x = 21

⟹ x = 3____(iii)

★Substituting the value of x from (iii) in (i), we get

y = 2 × 3 – 2 = 4

∴ x = 3 and y = 4

★Hence x = 3 and y = 4

⚛️Hope it helps uhh⚛️

Answer 3

✡️Given✡️

★System of linear equations

2x – y = 2

x + 3y =15

To find

Value of x and y

Solution

★Here, 2x – y = 2

⟹ y = 2x – 2___(i)

Now

★⟹ x + 3y = 15____(ii)

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

x + 6x – 6 = 15

⟹ 7x = 21

⟹ x = 3____(iii)

★Substituting the value of x from (iii) in (i), we get

y = 2 × 3 – 2 = 4

∴ x = 3 and y = 4

★Hence x = 3 and y = 4

⚛️Hope it helps uhh⚛️