Question

If the ordered pairs (y-1,x+2) and (x-2,2y+1) are equal, find x and y.

• A. x = 2 , y = 3
• B. x = 1 , y = $\frac{1}{3}$
• C. x = 3 , y = 2
• D. x = 2 , y = -1

Answer 1

The correct option is C x = 3 , y = 2

Since the ordered pairs are equal :
y - 1 = x - 2 and x + 2 = 2y + 1
$\Rightarrow$ x - y = 1 and -x + 2y = 1
Solving these 2 equations together we get :
y = 2
Putting the value of y in equation (1) we get :
x - 2 = 1 $\Rightarrow$ x = 3