Question

Solving a General System of Equations Find xand yin

terms of aand b.

$\left\{\begin{array}{l}x+y=0\\ x+ay=1\end{array}\right.(a\ne 1)$

Short answer

$x=\frac{-1}{a-1}$

$y=\frac{1}{a-1}$

Step-by-step solution

Step 1. Write down the concept.

The given system of equation can be written as,

x + y = 0 …..(1)

$x+ay=1$ …...(2)

Subtracting (1) from (2), we get

$ay-y=1$

$y=\frac{1}{a-1}$

Substituting y in (1) we get,,

$x=-\frac{1}{a-1}$