The system of equations to determine the number of adult tickets, a, and the number of student tickets, s, the drama club sold is a + s = 1500; 12a + 6s = 16,200. 300 students attended the play.
<h3>Simultaneous equation</h3>
- number of adult tickets = a
- number of student tickets = s
The system of equation:
a + s = 1500
a + s = 150012a + 6s = 16,200
From equation (1)
a = 1500 - s
Substitute into (2)
12a + 6s = 16,200
12(1500 - s) + 6s = 16,200
18,000 - 12s + 6s = 16200
- 12s + 6s = 16200 - 18,000
-6s = -1800
s = -1800 / -6
s = 300
Substitute s = 300 into (1)
a + s = 1500
a + 300 = 1500
a = 1500 - 300
a = 1200
Therefore, there are 300 students and 1200 adults at the play respectively.
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The equation solved for s is s = 4p - 48h
<em><u>Solution:</u></em>
Given that equation a company uses to calculate pay checks is p = 12h +0.25s
Therefore the given equation is:
p = 12h + 0.25s
Where "h" is the number of hours worked
"s" is the total sales
To find: equation for "s"
Let us solve the given equation for "s"
p = 12h + 0.25s
Now move 12h from R.H.S to L.H.S
p - 12h = 0.25s
Now move from 0.25 from R.H.S to L.H.S
We know that, 
Thus the equation for s is s = 4p - 48h
Answer:
- 45
Step-by-step explanation:
let n be the number , then
n - 11 = n + 4 ( add 11 to both sides )
n = n + 15 ( multiply through by 3 to clear the fraction
2n = 3n + 45 ( subtract 2n from both sides )
0 = n + 45 ( subtract 45 from both sides )
- 45 = n
The number is - 45
Answer:
No solution I believe
Step-by-step explanation:
(-6,4)
1/2(-6)-1=-y
-3-1=-y
-4=-y
y=4
