# Solve the following simultaneous equations.i.ii. iii.

(i)

4x + 3y = 48 eq.[1]

2x - 3y = 4 eq.[2]

Adding eq.[1] and eq.[2], we get

4x + 3y + 2x - 3y = 48 + 4

6x = 52

Using this in eq.[1], we have

104 + 9y = 144

9y = 40

(ii)

x + 15y = 39

x = 39 - 15y eq.[1]

4x + y = 38

Using eq.[1], we have

4(39 - 15y) + y = 38

156 - 60y + y = 38

59y = 118

y = 2

Putting this value in eq.[2]

x = 39 - 15(2)

x = 39 - 30

x = 9

(iii)

2y + 3x = 13xy eq.[1]

5y - 4x = -2xy eq.[2]

Multiplying eq.[1] by 4 both side, and Multiplying eq.[2] by 3 both side, we get

8y + 12x = 52xy eq.[3]

15y - 12x = -6xy eq.[4]

8y + 12x + 15y - 12x = 52xy - 6xy

23y = 46xy

1 = 2x

Putting this in eq.[1]

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