The answer (usually called the 'solution') is the one and only number that 'n' can be if that equation is a true statement. Here's a suggestion of a procedure you can use to find it:
<u>1.8 + 7n = 9.5 - 4n</u>
Add 4n to each side: 1.8 + 11n = 9.5
Subtract 1.8 from each side: 11n = 7.7
Divide each side by 11 : <em> n = 0.7</em>
G(-7, 4)
(x + 10, y - 6) = (-7 + 10, 4 - 6)
(x + 10, y - 6) = G'o(3, -2)
It's six
2 4 6 8 10
3 6 9 12 15
Answer:
number of youth admissions sold (x) = 74
number of adult admissions sold (y) = 32
Step-by-step explanation:
Let x = number of youth admissions
Let y = number of adult admissions
Given:
- total number of admissions sold = 106
⇒ x + y = 106
Given:
- cost of youth admission = $12.50
- cost of adult admission = $17.50
- total amount collected = $1485
⇒ 12.5x + 17.5y = 1485
Rewrite x + y = 106 to make y the subject:
⇒ y = 106 - x
Substitute y = 106 - x into 12.5x + 17.5y = 1485 and solve for x:
⇒ 12.5x + 17.5(106 - x) = 1485
⇒ 12.5x + 1855 - 17.5x = 1485
⇒ 5x = 370
⇒ x = 74
Substitute found value of x into y = 106 - x to find y:
⇒ y = 106 - 74
⇒ y = 32
