-12 + 3x + 2 = 5x - 10 - 8x
-10 + 3x = -3x -10
-10 + 6x = -10
6x = 0
x = 0
Answer:
60 degrees and 30 degrees
Step-by-step explanation:
let the angles be x and y
we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:
x + y = 90 ------(eq 1)
we are also given that the difference between the two angles is 30 degrees). Similarly we can write
x - y = 30 ------(eq 2)
now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:
eq 1 + eq 2:
(x + y) + (x - y) = 90 + 30
2x = 120 (divide both sides by 2)
x = 120/2
x = 60 deg (substitute this back into eq 1)
x + y = 90
60 + y = 90 (subtract 60 from both sides)
y = 90 - 60
y = 30 deg.
We have a system of equations here:
Let 'a' = adult tickets and 'c' = children's tickets
5.80c + 9.00a = 1056.20
We also know that the total number of tickets (adults and children) was 149:
a + c = 149
We need only solve the system.
Answer:
C
Step-by-step explanation:
