Question

Solve the pair of linear equations: 3x + 2y – 11 = 0, 2x – 3y + 10 = 0 , by Substitution Or Elimination.

Answer 1

Elimination method:

Given Equation is 3x + 2y = 11   ----- (1)

Given Equation is 2x - 3y = - 10  ---- (2)

On solving (1) * 2 & (2) * 3, we get

⇒ 6x + 4y = 22

⇒ 6x - 9y = -30

   -------------------

           13y = 52

              y = 4.

Substitute y = 4 in (1), we get

⇒ 3x + 2y = 11

⇒ 3x + 2(4) = 11

⇒ 3x = 11 - 8

⇒ 3x = 3

⇒ x = 1.

Therefore, the value of x = 1 and y = 4.

Hope it helps!

Answer 2

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