Question
x + 2y = 10
2x – y = 5
The solution to the given system of equations is (x, y). What is the value of 3x + y ?
- 5
- 7
- 13
- 15
The correct answer is: 15
HINT: Solve the system of equations.
Complete step by step Solution
Given system of equations are,
(i)
…(ii)
Multiply (i) with 2 to make the coefficients of to be the same in both the equations.
On multiplying, we get …(iii)
On subtracting (ii) from (iii),
We get LHS to be
And RHS to be
On equating LHS and RHS,
we get y = 3.
On substituting in (i),
We get, .
So the value of
Therefore,
Hence option D is the correct answer.
Note: We can solve this directly by adding these 2 equations. Then LHS would be and RHS would be 15. Hence we get .
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