Well first you want to be trying to solve for the same variable in both problems. Lets solve for Y.
This means we must make both equations say " Y="
first we subtract 12x from both sides of "12x-3y=3" which leaves us with
-3y=3-12x and y=4x-1.
you are basically going to merge the 2 problems by adding "1" to both problems and then subtracting "4x" from both as well as subtracting "y" from both. This gets rid of a variable in one problem and essentially puts in to the other in the process.
This leaves you with -4y=4-16x
Can you solve from there?
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
<u>Let</u>:
- senior citizen ticket price = a
- student ticket price = b
<u>Equations formed</u> :
- 9a + 10b = 113
- 2a + 10b = 64
<u>Subtract</u> : Equation 1 - Equation 2
- 9a + 10b - 2a - 10b = 113 - 64
- 7a = 49
- a = 7
<u>Finding b</u>
- 2(7) + 10b = 64
- 10b = 50
- b = 5
<u>Solution</u>
- Price of senior citizen ticket = $7
- Price of student ticket = $5
hope it helps you!!!!!!!!!!
