Question

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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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

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Answer 2

2(1) -y=2

2-y=2

y=0

x+3(2)=15

x+6=15

x=15-6

x=9