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Find which of the linear equations has $x = 5, y = 2$ as a solution.

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x + 2 y = 7

5 x + 2 y = 7

x + y = 7

5 x + y = 7

answer is C.

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Detailed Solution

It is given to find the linear equation which has

x = 5, y = 2

as a solution.
Inorder to find the equation we substitute the value of the given solution in options.
Let us consider option 3,

x + y = 7

Substituting the given solution in the equation, we get,

\Rightarrow 5 + 2 = 7

\Rightarrow 7 = 7

Hence, L.H.S=R.H.S.
Putting the values of x and y in option 1, we get,

\Rightarrow 5 + 2 \times 2

\Rightarrow 5 + 4

\Rightarrow 9

9 \neq 7

Putting the values of x and y in option 2, we get,

\Rightarrow 5 \times 5 + 2 \times 2

\Rightarrow 25 + 4

\Rightarrow 29

29 \neq 7

Putting the values of x and y in option 4, we get,

\Rightarrow 5 \times 5 + 2

\Rightarrow 25 + 2

\Rightarrow 27

27 \neq 7

So, option 3 is correct.

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