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in Linear Equations by (33.5k points)
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Solve the set of simultaneous equation.

2x + 3y + 4 = 0; x – 5y = 11

1 Answer

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Best 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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