Which of the following is correct for the given pair of linear equations?
4x + (x-y)/8 = 17
2y + x –(5y+2)3 = 2

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x=4; y= –4

x=7; y= –4

x=-4; y=4

None of these

answer is A.

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Detailed Solution

Concept- Linear equations are the equations of degree 1. Here, we will simultaneously solve the equation, and then substitute the values from one equation to another.  One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1. The lines that connect all the points on a coordinate grid when you identify the values that make a linear equation true are congruent.
Step 1-    4x + (x-y)/8 = 17
⇒32x + x – y = 136
⇒33x – y = 136.………………………..(i)
Step 2-   2y + x – (5y+2)/3 = 2
⇒6y + 3x – 5y – 2 = 6
⇒3x – y = 8……………………………(ii)
Step 3- On adding (i) and (ii), we get
               ⇒ 36x = 144
              ⇒ x = 14436 = 4
              ⇒33 ✕ 4 – y = 136
              ⇒132 – y = 136
              ⇒ –y = 136 – 132
              ⇒y = –4
Hence, the correct answer option is 1) x = 4, y = -4

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