Solve for x and y: x + y = 3, 4x – 3y = 26

1.	Solve for x and y: x + y = 3, 4x – 3y = 26
Answer» The given system of equation is: x + y = 3…….(i) 4x – 3y = 26 ……(ii) On multiplying (i) by 3, we get: 3x + 3y = 9 ….(iii) On adding (ii) and (iii), we get: 7x = 35 ⇒ x = 5 On substituting the value of x = 5 in (i), we get: 5 + y = 3 ⇒ y = (3 – 5) = -2 Hence, the solution is x = 5 and y = -2

Answer»

The given system of equation is:

x + y = 3…….(i)

4x – 3y = 26 ……(ii)

On multiplying (i) by 3, we get:

3x + 3y = 9 ….(iii)

On adding (ii) and (iii), we get:

7x = 35

⇒ x = 5

On substituting the value of x = 5 in (i), we get:

5 + y = 3

⇒ y = (3 – 5) = -2

Hence, the solution is x = 5 and y = -2

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