Solving for we get x, + 21 6x = 11 x – = –5x –10 = 2 x Then, we can find = 3. y Solution by linear combination: is equivalent to . Subtracting the top equation from the bottom gives us 5y = 15 = 3 y Then, we can find = 2. x 7. ANS: One possible solution is (0, 0); answers will vary. 8. ANS: a. = 4x + where is any number except y b, b –3 b. = + where is any number y x b, b 9. ANS: a. = + where is any number except 10 y –2x b, b b. = + where is any number y x b, b 10. ANS: 2 < x 14 < 8x 2 – 14 + 2 < 8x 2 + 2 – 16 < 8x 2 < x
Solving for x, we get x + 21 – 6x = 11 –5x = –10 x = 2 Then, we can find y = 3. Solution by linear combination: is equivalent to . Subtracting the top equation from the bottom gives us 5y = 15 y = 3 Then, we can find x = 2. 7. ANS: One possible solution is (0, 0); answers will vary. 8. ANS: a. y = 4x + b, where b is any number except –3 b. y = x + b, where b is any number 9. ANS: a. y = –2x + b, where b is any number except 10 b. y = x + b, where b is any number 10. ANS: 2 < x 14 < 8x – 2 14 + 2 < 8x – 2 + 2 16 < 8x 2 < x
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