Question

Find the value of $x$ and $y$ if :

• A. x = 2, y = 3
• B. x = 1, y = 1
• C. x = 2, y = 0
• D. x = 4, y = -1

Answer 1

1. 3x-2y = 0 -------(i)
x+y = 5--------(ii)

(ii) $\times$ 2 $⟹$ 2x + 2y = 10-----(iii)
(iii) + (i) $\Rightarrow$ 5x = 10
$\Rightarrow$ x = 2

Substitute the value of x in (i)
$\Rightarrow$ y = 3

$\therefore$ x = 2 and y = 3

2. 2x+3y =5 ------(i)
x+2y = 3 ------(ii)

(ii) $\times$ 2 $\Rightarrow$ 2x +4y = 6 ----(iii)

(iii) - (i) $\Rightarrow$ y = 1

Substitute the value of y in (i)
$\Rightarrow$ x = 1

$\therefore$ x = 1 and y = 1

3. 3x-2y = 6---------(i)
x+y = 2---------(ii)

From (ii) we get, x = (2-y)
Substitute the value of x in (i)

$\Rightarrow$ 3(2-y) - 2y = 6
$\Rightarrow$ 6 - 5y = 6
$\Rightarrow$ y = 0

Substitute the value of y in (ii)
$\Rightarrow$ x = 2

$\therefore$ x = 2 and y = 0

4. x+2y = 2------(i)
x-2y = 6-------(ii)

(i) - (ii) $\Rightarrow$ 4y = -4
$\Rightarrow$ y = -1

Substitute the value of y in (i)
$\Rightarrow$ x = 4

$\therefore$ x = 4 and y = -1