Equations with Solution Sets

For his parents' anniversary party, Felix is considering using one of two venues. A hotel in Arcadia will cost $400 for a reservation, plus $30 per person. A restaurant in the same city will cost $10 per person, in addition to $800 for the reservation. In order to make the best decision, Felix figures out how many guests it would take to have the venues cost the same amount. How many guests would that be? Write a system of equations in order to determine the solution.

• 20 guests

• 1000 guests

• 1200 guests

• 200 guests

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (0, 3)

• (0, 5)

• (-3, 5)

Please solve this equation

^p/₅ = 7

• p = 35

• p = 12

• p = 2

• None of these match my answer

Please solve this equation

23 = x + 7

• x = 16

• x = 30

• x = 161

• None of these match my answer

2) Solve this equation

t - 7 = 2

• t = 9

• t = 7

• t = 5

• None of these match my answer

1) Solve this equation

c - 1 = 8

• c = 9

• c = 7

• c = 8

• None of these match my answer

Please solve this equation

• m = 7

• m = 1

• m = 13

• None of these match my answer

Please solve this equation

x - 12 = 13

• x = 25

• x = 1

• x = 156

• None of these match my answer

Solve this equation

a - 2.1 = 5.8

• a = 7.9

• a = 3.7

• a = 5.8

• None of these match my answer

Which equation has x = 5 as the solution?

• x + 15 = 10

• 2x = 5

• 2x = 10

• x/2 = 10