Question

solve the following linear equation using substitution method
2x-y=2
x+3y=15​

Answer 1

Answer:

y=2x

5y=15

y=3

x=y/2=3/2

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Answer 2

x = 5/2 and y = 3

$\large\bf\underline\purple{SolutioN}$

Let equations

✣ 2x - y = 2 -------------------- ➊ equation

✣ x + 3y = 15 ------------------ ➋ equation

• Take any equation.

⇒ x + 3y = 15

⇒ x = 15 - 3y ------------------ ❸ equation

• Now , put value of x in any equation .

⇒2x - y = 2 -------- ➊

⇒2×(15 - 3y) - y = 2 ( Value of x is by 3 equation)

⇒30 - 6y - 3y = 2

⇒30 - 7y = 2

⇒-7y = 2 - 30

⇒-7y = -28

⇒ y = -28 / -7

⇒y = 3

• For value of x , put the value of y in any equation.

⇒2x - y = 2 -------- ➊

⇒2x - 3 = 2

⇒2x = 2 + 3

⇒2x = 5

⇒x = 5 / 2

Verification:-

• For verification put value of x and y in any equation.

⇒2x - y = 2 --------➊

⇒2× 5/2 - 3 = 2

⇒5 - 3 = 2

⇒2 = 2

Hence, verified

Therefore, Value of x = 5/2 and value of y = 3.