College Algebra

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When the value of one unknown has been found in this way the value of the other is easily found from the linear equation.
The linear-quadratic system has always two solutions, which, however, may not be distinct.
EXERCISES 1. Solve each of the following systems of equations.
(a) f3^ + 48^=7, (^) r2a;-2/^7, I2a;2_5j^:=0. [Sa;^ + 4xy + 7y^=12.
(.J, j2x-6y = 6, -) (8x + 4:y-Q = 0, \3x^ + iy^ = 1. \Sx^ - 1 xy + iy^ + 6x - 3y + 1=0.
^^■^ !3x-6y + 4 = 0, ^j.^ f3x + 2y-U = 0, \xy = i. \6x^ — ixy + 1y^
... — x + 5y=0.
105 106 COLLEGE ALGEBRA [VIII, § 75 2. In the system of equations l = a+(n-l)d, « = ^(o + 0.
if a, d, and s are supposed to be known, find the unknowns.
3. In the system of example 2, if I, d, and s are supposed to he known, find the unknowns.
4. The sum of two numbers is 7 and the sum of the squares is 25.
What are the numbers 3 6. The sum of two numbers is 10 and the sum of their squares is 25.
What are the numbers ?
76. Geometric Interpretation of the Quadratic Equation in Two Variables.


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