Question

Solve the following simultaneous linear equations:

3a + 5b = 26

a + 5b = 22​

Answer 1

Answer:

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Answer 2

Answer:

a = 2 and b = 4

Step-by-step explanation:

 Given a + 5b = 22  

     ⇒ a = 22 - 5b  

Substituting the value a in other one :

⇒ 3( 22 - 5b ) + 5b = 26

⇒ 66 - 15b + 5b = 26

⇒ 66 - 10b = 26

⇒ 66 - 26 = 10b

⇒ 40 = 10b

⇒ 4 = b

     Therefore,

⇒ a = 22 - 5b

      = 22 - 5( 4 )

      = 22 - 20

      = 2

Hence, a = 2 and b = 4