Question

Question 69

If P = -(x - 2), Q = -2(y + 1) and R = -x + 2y, find a, when P+Q+R = ax.

Answer 1

Given, P = -(x - 2), Q = -2(y + 1) and R = -x + 2y
Also given, P + Q + R = ax
On putting the values of P, Q and R on LHS, we get
-(x - 2) + [-2(y + 1)] + (-x + 2y) = ax
$\Rightarrow -x+2+(-2y-2)-x+2y=ax$
$\Rightarrow -x+2-2y-2-x+2y=ax$
On combining the like terms,
- x - x -2y + 2y + 2 - 2 = ax
$\Rightarrow -2x=ax$
By comparing LHS and RHS, we get a = -2