MCQ
If $2x + 3y = 12$ and $3x - 2y = 5$ then :
- A$x = 2, y = 3$
- B$x = 2, y = -3$
- ✓$x = 3, y = 2$
- D$x = 3, y = -2$
✓
Answer
Correct option: C.
$x = 3, y = 2$
$2x + 3y = 12 ....(i)$
$3x - 2y = 5 ...(ii)$
Multiplying equation $(i)$ and $(ii)$ by $2$ and $3$ respectively.
$4x + 6y = 24 ...(iii)$
$9x - 6y = 15 ....(iv)$
Adding equations $(iii$) and $(iv),$
we get $13x = 39$
$\Rightarrow x = 3$
Substituting $x = 3$ in $(ii),$
we get $y = 2$.
$3x - 2y = 5 ...(ii)$
Multiplying equation $(i)$ and $(ii)$ by $2$ and $3$ respectively.
$4x + 6y = 24 ...(iii)$
$9x - 6y = 15 ....(iv)$
Adding equations $(iii$) and $(iv),$
we get $13x = 39$
$\Rightarrow x = 3$
Substituting $x = 3$ in $(ii),$
we get $y = 2$.
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