Answer:
The point for the given linear equations is (
, 
)
Step-by-step explanation:
Given as :
The two linear equations are
First equation
y = 
x + 5
Or, y + x + 5 = 0
Taking LCM we get
y + x + 10 = 0 .......1
Second equation
y = 2 x + 2 ........2
Now solving both equation
Putting the value of y from eq 2 into eq 1
(2 x + 2) + x + 10 = 0
Or, 3 x + 12 = 10
Or, 3 x = 10 - 12
Or, 3 x = - 2
∴ x =
Now putting the value of x into eq 2
∵ y = 2 x + 2
Or, y = 2 × + 2
Or, y = 
+ 2
Or, y = 
∴ y =
So, The points are (x , y ) = ( , )
Now, plotting the points on x-y coordinate graph
Hence, The point for the given linear equations is ( , ) Answer
Answer:
68 adult tickets and 40 child tickets were sold.
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets sold and c is the number of child tickets sold:
8a + 5c = 744
a = 2c - 12
Solve by substitution by substituting the second equation into the first one:
8(2c - 12) + 5c = 744
16c - 96 + 5c = 744
21c - 96 = 744
21c = 840
c = 40
So, 40 child tickets were sold. Plug this into the second equation to solve for a:
a = 2c - 12
a = 2(40) - 12
a = 80 - 12
a = 68
So, 68 adult tickets and 40 child tickets were sold.
Answer:
708 milliliters
Step-by-step explanation:
There are 3 juice boxes and each contain 236 milliliters of juice. So 236 + 236 + 236 = 708
You subtract 1.1 each time so the answer is 6.6 (a)
