Question

Medals given

Answer 1

Part 1: The 8th grade shop class decided to make stools and chairs for their woodworking project. Each stool had 3 legs and each chair had 4 legs. They completed 7 all together and used 24 legs for the project.

The system of linear equations x + y = 7 and 3x + 4y = 24 represents the problem, where x is the number of stools and y is the number of chairs.

To graph this system of equations, there are two methods we can use – tables or x and y intercepts.

1. Tables – complete the following tables and find the solution. (4 points)

x + y = 7 3x + 4y = 24
x
y
1

2

3

4

x
y
2

4

6

8



2. x and y intercepts - Find the intercepts for each equation. Show your work. (4 points)
(Reminder: To find the x-intercept, let y equal 0 and solve for x. To find the y-intercept, let x equal 0 and solve for y. The tables given below may help.)

a. x + y = 7 Show work:
x-intercept: y-intercept:



x
y

0
0




b. 3x + 4y = 24 Show work:
x-intercept: y-intercept:



x
y

0
0



3. Graph these equations using either the tables from question 1 or the intercepts from question 2. Which method did you use to graph the lines, and why? (2 points)


4. Write the coordinates of the solution. ___________________ (1 point)
5. Verify the solution by substituting the values into the original equations. Show your work. (2 points)



6. What is the total number of stools the class made? (2 points)
What is the number of chairs they made?

Answer 2

I'll also have my brother give u a medal. so twice the medals

Answer 3

Stop trading medals for answers.

Answer 4

And do your homework by yourself.

Answer 5

This is a website for studying, not for doing homework