Solve the set of simultaneous equation.2x + 3y + 4 = 0; x – 5y = 11

1.	Solve the set of simultaneous equation.2x + 3y + 4 = 0; x – 5y = 11
Answer» 2x + 3y + 4 = 0 …(i) x – 5y = 11 ∴x = 11 + 5y …(ii) Substituting x = 11 + 5y in equation (i), 2(11 +5y) + 3y + 4 = 0 ∴ 22 + 10y + 3y + 4 = 0 ∴ 13y + 26 = 0 ∴ 13y = -26 ∴y = \(\frac{-26}{13}\) ∴ y = -2 Substituting y = -2 in equation (ii) x = 11 + 5y ∴ x = 11 + 5(-2) ∴ x = 11 – 10 = 1 ∴ (1, -2) is the solution of the given equations.

Answer»

2x + 3y + 4 = 0 …(i)

x – 5y = 11

∴x = 11 + 5y …(ii)

Substituting x = 11 + 5y in equation (i),

2(11 +5y) + 3y + 4 = 0

∴ 22 + 10y + 3y + 4 = 0

∴ 13y + 26 = 0

∴ 13y = -26

∴y = \(\frac{-26}{13}\)

∴ y = -2

Substituting y = -2 in equation (ii)

x = 11 + 5y

∴ x = 11 + 5(-2)

∴ x = 11 – 10 = 1

∴ (1, -2) is the solution of the given equations.

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