Which method should be used to solve the system? Explain your answer, including a description of the first step.-7x2 + 3y2 =81-3x2 - 5y2 =100
What will be an ideal response?
Elimination should be used since the equations have the same types of terms (x2, y2, constant), while substitution would require fractions or extra steps. The first step is to multiply the first equation by -3, 3, -5, or 5 or to multiply the second equation by -7, 7, 3, or -3.
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Perform the indicated operations. Express your answer in standard form.Find the difference of -s2 - 8s + 6 and - 9s2 - 3s + 3.
A. 8s2 - 5s + 3 B. -10s2 - 11s + 9 C. 8s2 + 5s + 3 D. 10s2 - 5s + 9
Use substitution to solve the system of equations.y = -6 - xx - y = 8
A. (0, -6) B. (-1, -6) C. (1, -7) D. Inconsistent; no solutions
Without actually solving the equation, list all possible numbers that would have to be rejected if they appeared as potential solutions. Then give the domain using set notation.
+ 
= 0
A. 4, 16; {x
4, 16}
B. 4, 16, -10, -11; {x
4, 16, -10, -11}
C. -4, -16, 10, 11; {x
-4, -16, 10, 11}
D. -4, -16; {x
-4, -16}
Find the center (h, k) and radius r of the circle with the given equation. (x - 2)2 + y2 = 9
A. (h, k) = (0, 2); r = 9 B. (h, k) = (2, 0); r = 9 C. (h, k) = (2, 0); r = 3 D. (h, k) = (0, 2); r = 3