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Question
Solve for x and y:
4x = 17 - `[ x - y ]/8`
2y + x = 2 + `[ 5y + 2 ]/3`
Solution
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.
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