Solve using elimination:
5y + 7x + 10 = 0
-14x − 10y = -20
Answers
(10,-16)
(-5, 5)
No solution
Infinitely many solutions
Solve using elimination:
8y = -2x − 16
-x − 4y - 8 = 0
Answers
(3, -20)
(-1, -4)
Infinitely many solutions
No solution
Juanita wants to sign up for a telephone service. The cost of a local phone line is $35 per month plus $0.10 per long-distance call. The cost of a cell phone is $48 per month with unlimited long-distance as long as the minutes do not go over 1,000. How many long distance calls would Juanita need to make on the local phone line to spend as much as she would to have a cell phone?
Answers
65
130
175
350
Solve using elimination:
6x − 2y − 3= 0
4y − 4x = -6
Answers
(0, -3/2)
(2, 9/2)
(7, 4)
(-8,-5)
Solve using elimination:
-5x = -7 + 4y
2y − 12x = 18
Answers
(-1, 3)
(3, 2)
No solution
Infinitely many solutions
Solve using substitution:
-x + 2y = -7
10y − 5x = 21
Answers
Infinitely many solutions
No solution
(-1, -4)
(8, 1/2)
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Answers & Comments
Verified answer
Most of these you can put into slope-intercept form, then put into a graphing calculator to get the answer. Slope-intercept form is Y = MX + B
5y + 7x + 10 =0 (y = -7/5x - 2)
-14x -10y + -20 (y = -7/5x +2)
(no solution)
8y = -2x -16 (y = -1/4x -2)
-x - 4y -8 = 0 (y = -1/4x -2)
(no solution)
35 + .10x = 48
(130)
6x - 2y - 3 =0 (y = -3x - 3/2)
4y - 4x = -6 (y = x - 3/2)
(0, -3/2)
-5x = -7 + 4y (y = -5/4x + 7/4)
2y - 12x = 18 (y = 6x + 9)
(-1,3)
-x + 2y = -7 (y = 1/2x - 7/2)
10y -5x = 21 (y = 1/2x + 21/10)
(no solution)