To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.
x+y=9 x=2y-9
To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.
2y-9+y=9 3y-9=9 3y=18 y=6
We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.
x=2·6-9 x=12-9 x=3
Just to check, we will plug these two numbers into the first equation.
You take 7.25 (10)+5.5p=105.5 72.5+5.5p=105.5 To make the equation easier multiply the whole equation by ten like this (72.5+5.5p=105.5)10 that equals 725+55p=1055 Then subtract 725 to both sides 725+55p=1055 -725 -725 ____ _____ 55p=330 Then divide by 55 on both sides and that equals 6 so 6 people bought tickets
