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

3x – 5y = 16; x – 3y= 8

1 Answer

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Best 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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