Question

1)Solve the following sets of simultaneous equations.
 x + y = 4 ; 2x - 5y = 1

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Answer 1

Step-by-step explanation:

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Answer 2

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x + y = 4            (1)

2x - 5y = 1        (2)

• From (1) we have

x = 4 - y

• Putting this value of x in (2)

2 ( 4 - y ) - 5y = 1

⇒ 8 - 2y - 5y = 1

⇒ 8 - 7y = 1

⇒ 8 - 1 = 7y

⇒ 7 = 7y

⇒ y = 1.

• Putting the value of y in (1) we have
• x + 1 = 4
• ⇒ x = 3

Thus, ( x , y ) = ( 3,1 )