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NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Determinants

NDA 2012 · Mathematics · Determinants

The solution of the simultaneous linear equations 2 x+y=6 and 3...

The solution of the simultaneous linear equations

2 x+y=6

and

3 y=8+4 x

will also be satisfied by which one of the following linear equations?

Options

A $x+y=5$
B $2 x+y=9$
C $2 x-3 y=10$
D $2 x+3 y=6$

Correct answer

A. $x+y=5$

Step-by-step solution

\begin{aligned} 2 x+y & =6 \Rightarrow 2 x=6-y \\ 3 y & =8+2(2 x) \\ 3 y & =8+2(6-y) \\ 3 y & =8+12-2 y \\ 5 y & =20 \\ y & =4 \\ \Rightarrow \quad 2 x & =2 \\ \quad x & =1.\end{aligned}

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