X is always the Left number, whilst Y is always the Right number
(Both in the parenthesis and separated by a comma) <span />
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Answer:
The cost of bucket of popcorn is 4.25$ and The cost of fountain drinks is 6.75$
Step-by-step explanation:
A movie theater sells popcorn and fountain drinks.
Let, x be the number of popcorn
and y be the number of fountain drinks.
Now,
Statement 1: Brett buys 1 popcorn and 3 fountain drinks for his family which cost him a total of $24.50
Equation 1 can be written as x+3y=24.50
Statement 2: Sarah buys 3 popcorn and 4 fountain drinks for his family which cost her a total of $39.75
Equation 2 can be written as 3x+4y=39.75
The system of equation is given by
Equation 1 : x+3y=24.50
Equation 2 : 3x+4y=39.75
Using a method of substitution,
For equation 1
x+3y=24.50
x=24.50-3y
Now, replacing the value of x in equation 2
Equation 2 is 3x+4y=39.75
3x+4y=39.75
3(24.50-3y)+4y=39.75
73.50-9y+4y=39.75
-5y=33.75
y=6.75
Putting value y in any equations
Equation 1 is x+3y=24.50
x+3y=24.50
x+3(6.75)=24.50
x+20.25=24.50
x=4.25
Thus,
The cost of bucket of popcorn is 4.25$ and The cost of fountain drinks is 6.75$
Have you learned slope yet? Pick two points from the graph and do x-y on the top and x-y on the bottom. That would give you your slope then you can graph it. For example (-2,-1) (-1,1)
-2-(-1)
-1-1
Then that would give you -1/-2 so technically -1/2<< this is what you graph