To set up your system of equations is to have 2 equations. They both would have 1 similar variable. For example, Jenny is 5 more her brother's age. She is also 2 more than twice her brother's age. You would set this up as Y, which is Jenny, and X, her brother. Y = 5 + x and Y = 2x + 2. Make sure you put Y in the same spot in both equations. Then take the other half of the equations and simplify them. 5 + x = 2x + 2. Subtract x from both sides to get 5 = x + 2. Subtract 2 from both sides to get 3 = x. Now replace the X from both equations to get Y = 5+3, and Y = 2(3) + 2. You will see both add up to 8, which is how old Jenny is in this example. Hope this helped!
Answer:
Options (3) and (6)
Step-by-step explanation:
"A straight line is a set of all points between two points and extending beyond these points."
Therefore, from the given diagram,
Arrows connecting set of two points B and C and D and E will be straight lines.
Geometrically we denote them with an arrow over the line.
and 
Therefore, Options (3) and (6) will be the answer.
Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
Use a calculator it will help.
The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
