Question

If 3x+y = 34 and x+3y= 16 then what will be x+y


NO UNWANTED COMMENTS​

Answer 1

Step-by-step explanation:

We are given that:

→ 3x + y = 34 ___(1) &

→ x + 3y = 16 ___(2)

Multiply Equation (1) by 3

→ 3(3x + y) = 3(34)

→ 9x + 3y = 102 ___(3)

Now,

Subtract Equation (2) from (3)

→ 9x + 3y - (x + 3y) = 102 - 16

→ 9x + 3y - x - 3y = 86

→ 8x = 86

→ x = 86/8

→ x = 43/4

Substituting x = 43/4 in Equation (2)

→ x + 3y = 16

→ 43/4 + 3y = 16

→ 3y = 16 - 43/4

→ 3y = (64 - 43)/4

→ 3y = 21/4

→ y = (21/4) ÷ 3

→ y = (21/4) × (1/3)

→ y = 7/4

Now,

→ x + y

= (43/4) + (7/4)

→ 50/4

→ 25/2

Therefore the value of x + y = 25/2