(2)

1.

Put the values in (3) and (4) equal to each other,

or

Transpose,

Substitute in (4),

or

...

(6) x (a+b)-4ab (a+b)=2 a (a2—b) -(a—b) r.
(7) x[a+b+ab] = 2a[a2-b2+2ab+2b2]
(8) 2 ax = 2a [a2 + 2 ab + b2] = 2 a (a + b)2
x = (a + b)2.

(9)

y = (a+b)2-4aba2+2ab+b2-4ab y = a2 2ab+b2

y = (a - b)2.

The numerator of y in both equations is the same.

Then, by

EXERCISE XLIII

Solve the following systems of fractional and literal equations:

224. Elimination by Undetermined Multiplier.

The process of elimination by undetermined multiplier is not much used. The discovery of the method is attributed to Bezout.

EXERCISE XLIV

Solve the following examples by any of the preceding methods: