Let us solve the following linear simultaneous equations in two variables by the method of elimination:
ax + by = c

a² x + b²y = c²

Question

Let us solve the following linear simultaneous equations in two variables by the method of elimination:(7x – y – 6)2 + (14x + 2y –16)2 = 0

Philoid · Accepted Answer

This equation is of the form

This is possible if both ‘a’ = 0 and b = 0

So, for above equation equals to zero

and

Now multiplying equation (i) by 2 and adding both equation we get,

⇒ x = 1

Putting the value of x in (i) we get

So for the value of x = 1 and y = 1 the given equation equals to zero

Let us solve the following linear simultaneous equations in two variables by the method of elimination:
(7x – y – 6)² + (14x + 2y –16)² = 0