Question

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Answer 1

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Answer:

1) x = 2 , y = 2

2) x = 8 , y = 3

Step-by-step explanation:

(1) 2x + y = 5...(i)    ,    3x - y = 5 ...(ii)

   → Add both the equations

   ⇒ 2x + y + 3x - y = 5 + 5

   ⇒ 5x = 10

   ⇒ x = 2

   → Substitute the value of x in eq (i)

   ⇒ 2(2) + y = 5

   ⇒ 4 + y = 5

   ⇒ y = 5 - 4

   ⇒ y = 1

∴ x = 2 , y = 2

(2) x + y = 11...(i)    ,    2x-3y = 7...(ii)

   → Multiply eq(i) with 3

   ⇒ 3(x + y) = 3(11)

   ⇒ 3x + 3y = 33...(iii)

   → Add eq (ii) and (iii)

   ⇒ 2x - 3y +3x + 3y = 7 + 33

   ⇒ 5x = 40

   ⇒ x = 8

   → Substitute the value of x in eq (i)

   ⇒ 8 + y = 11

   ⇒ y = 3

∴ x = 8 , y = 3

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