Answer x=5, y= 3.5
Find y by plugging the x value into the 2nd equation
4(2y-2) -9=11
8y - 8 - 9 =11 combine like terms
8y = 28 divide both sides by 8
y = 3.5
Now find x
Plug your y value into first equation
X = 2(3.5) -2
X= 7-2
X=5
You can check your work by putting your x or y values into the equations
For the first equation
5=2(3.5) -2
5=5
For the second equation
4(5) -9 = 11
20 - 9 = 11
11 =11
Answer:
distributive property
Step-by-step explanation:
distributive property, because 4 carries over to each variable and then the two product are added.
4(x+y)=4x+4y
Tan(x) = 5 ====> x= arc tan 5=====> x = 78.69
Answer:
218 adults and 104 children attended.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=322 (1)
8.75x+6y=2531.50 (2), where:
x is the number of adults
y is the number of children
First, you can solve for x in (1):
x=322-y (3)
Then, you can replace (3) in (2) and solve for y:
8.75(322-y)+6y=2531.50
2817.5-8.75y+6y=2531.50
2817.5-2531.50=8.75y-6y
286=2.75y
y=286/2.75
y=104
Finally, you can replace the value of y in (3) to find x:
x=322-104
x=218
According to this, the answer is that 218 adults and 104 children attended.