Question

Solve for x and y:

4x = 17 - `[ x - y ]/8`

2y + x = 2 + `[ 5y + 2 ]/3`

Answer 1

The given pair of linear equations are

4x = 17 - `[ x - y ]/8`

⇒ 33x - y = 136                   ...(1) [On Simplifying]

2y + x = 2 + `[ 5y + 2 ]/3`

⇒ 3x + y = 8                     ...(2) [On Simplifying]

Multiply equation (2) by 11, we get,

33x + 11y = 88                   ...(3)

Subtracting equation (1) from (3)

   33x + 11y = 88
-  33x - y = 136    
     -    +      -         
12y = - 48

y = -4

Substituting y = -4 in equation (1), we get:

33x - (-4) = 136

⇒ 33x = 132

⇒ x = 4

∴ Solution is x = 4 and y = - 4.