Samantha is solving the following system of equations using the method of substitution: 3x + 2y = 11 - x + y = 3 The following are Samantha's first two steps. y= x + 3 3x + 2(x+3) =11 HINT: Solve the bottom equation for x and then plug that value back into the first equation to solve for y. Arrange the steps below to match the order you used to do this.

Place each of the remaining steps in the appropriate order to finish solving the system of equations.

1 5x =5
2 (1,4)
3 y=4
4 x=1
5 3x + 2x + 6 = 11
6 5x + 6 = 11
7 y= 1 + 3

Which ordered pair is the solution to the system of linear equations displayed on the graph below?

HINT: The solution is the point where the two lines intersect. What is the x coordinate and y coordinate at that point of intersection?

A:
B:
C:

Which of the following inequalities can be represented by the graph below?

HINT: Can you find the equation for the boundary line? What is its y-intercept? What is its slope? Note that the region above the line is shaded.

A:
B
C

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

If you answer 2+2 you will get over 80 points

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