Academic Algebra for the Use of Common And High Schools And Academies With N

Edward a Edward Albert Bowser

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From each equation find the value of the unknown quan- tity to be eliminated, in terms of the other ; then place these values equal to each other.
Note. — Either of these methods of elimination may be employed, according to circumstances, and we shall always obtain the same result, whichever one we use; each method has its advantages in particular cases. Generally, the last two methods introduce fractional expressions, while the first method does not, if the equations be first cleared of fracti...ons. As a general rule, the method by addition or 178 FRACTIONAL SIMULTANEOUS EQUATIONS.
subtraction is the most simple and elegant. When either of the un- known quantities has 1 for its coefficient, the method by substitution is advantageous. When there are more than two unknown quantities, it is often convenient to use several of the methods in the same example.
Solve by comparison the following equations : 2. 7x — 5y = 24, Ax — oy = 11. Arts. X=\l, y = 19.
3. X - + Sy = 7, ^-i^ = 3t/ - 4.

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