Solve the set of simultaneous equations.3x – 5y = 16; x – 3y= 8

1.	Solve the set of simultaneous equations.3x – 5y = 16; x – 3y= 8
Answer» 3x – 5y = 16 …(i) x – 3y = 8 ∴x = 8 + 3y …..(ii) Substituting x = 8 + 3y in equation (i), 3(8 + 3y) – 5y = 16 24 + 9y- 5y = 16 ∴4y= 16 – 24 ∴ 4y = -8 ∴ y = -8/4 y = -2 Substituting y = -2 in equation (ii), x = 8 + 3 (-2) ∴ x = 8 – 6 = 2 ∴ (2, -2) is the solution of the given equations.

Answer»

3x – 5y = 16 …(i)

x – 3y = 8

∴x = 8 + 3y …..(ii)

Substituting x = 8 + 3y in equation (i),

3(8 + 3y) – 5y = 16

24 + 9y- 5y = 16

∴4y= 16 – 24

∴ 4y = -8

∴ y = -8/4

y = -2

Substituting y = -2 in equation (ii),

x = 8 + 3 (-2)

∴ x = 8 – 6 = 2

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

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