Question

what equation is solved by the graphed systems of equations? Two linear equations that intersect at the point negative 1, negative 4. 7x + 3 = x + 3 7x − 3 = x − 3 7x + 3 = x − 3 7x − 3 = x + 3 Question 2(Multiple Choice Worth 2 points) (06.03) Solve the system 2x + 3y = 3 and 3x − 2y = 11 by using graph paper or graphing technology. What is the solution to the system? (−3, 3) (−1, −7) (1, −4) (3, −1) Question 3(Multiple Choice Worth 2 points) (06.03) What is the graph of the system y = −2x + 3 and 2x + 4y = 8? line through point (0, 3) and (1, 1). Line through (0, negative 2) and (negative 4, 0) line through point (0, 3) and (1, 1). Line through (0, 2) and (negative 4, 0) line through point (0, 3) and (1, 1). Line through (0, 2) and (4, 0) line through point (0, 3) and (1, 1). Line through (0, negative 2) and (4, 0) Question 4(Multiple Choice Worth 2 points) (06.03) Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system? No Solutions Infinite Solutions (3, 2) (9, 2) Question 5(Multiple Choice Worth 2 points) (06.03) At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to Mandy. He tracks his book reading with a table on his door. Using his table below, what month will Bill have read the same amount of books as Mandy? Month Books May 4 June 8 July 12 September October August December You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: FDK361.02

Answer 1

1. 7x + 3 = x − 3

2. (3,-1)

3. Line through (0, 2) and (4, 0)

4. Infinite solutions

5. December

Explanation:

1. If you put an expression like these into a graphic calculator, you only get straight lines right? So how do you know the answer? Well whichever of these lines crosses the point given, which would be (-1,-4), would be the correct answer. The only one that crosses is 7x+3=x-3, as seen in the attached graph, making this the correct answer.

2. To find the answer to these we need to use graphing software. Desmos is the site I use but feel free to use another or even a graphing calculator.

Just insert the equations separately into desmos and it will graph it out for you. The point where the two lines meet will be the solution to the system. I've attached a graph to give you the visual representation. As you can see, the points cross at (3,-1) making that the correct answer.

3. So as done with the previous one, we use our graphing tool to create a graph of this equation. Then you match up which one goes where.

Once again, the graph is attached for you to see. All the points are shown so all you have to do is match them up to the points that are in the answer choices

4. If you inserted those equations into your graphing software, you would see that they are the exact same line. Since they are the same line, that makes any solution you put will be correct.

5. This one is easier than it looks. To do this, you can just list out the values for each month for Bill and Mandy until you get the same thing on the same month. Start from 18 since the 16 is the month before and count by twos for Mandy. For Bill start from 4 and count by 4's. You should be 8 in before you get a match, 32 in December.

I hope this helps! If you need further assistance, don't be afraid to reach out with questions! Have a nice day.

Answer 2

1. The equation is solved by the graphed systems of equations is:

Third option: 7x + 3 = x − 3

2. The solution to the system is:

Fourth option: (3,-1)

3. The graph of the system y = −2x + 3 and 2x + 4y = 8 is:

Third option: Line through point (0, 3) and (1, 1). Line through (0, 2) and (4, 0).

4. The solution to the system is:

Second option: Infinite solutions.

5. Bill will have read the same amount of books as Mandy in:

Fourth option: December

Explanation:

Question 1. What equation is solved by the graphed systems of equations?

Two linear equations that intersect at the point (-1, -4)=(x,y)→x=-1, y=-4

a. 7x + 3 = x + 3

Solving for x: Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

7x+3-x=x+3-x

6x+3=3

Subtracting 3 both sides of the equation:

6x+3-3=3-3

6x=0

Dividing both sides of the equation by 6:

6x/6=0/6

Dividing:

x=0 different to the intersection at x=-1, then this is not the equation.

b. 7x − 3 = x − 3

Solving for x: Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

7x-3-x=x-3-x

6x-3=-3

Adding 3 both sides of the equation:

6x-3+3=-3+3

6x=0

Dividing both sides of the equation by 6:

6x/6=0/6

Dividing:

x=0 different to the intersection at x=-1, then this is not the equation.

c. 7x + 3 = x − 3

Solving for x: Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

7x+3-x=x-3-x

6x+3=-3

Subtracting 3 both sides of the equation:

6x+3-3=-3-3

6x=-6

Dividing both sides of the equation by 6:

6x/6=-6/6

Dividing:

x=-1 equal to the intersection at x=-1, then this is the equation.

d. 7x − 3 = x + 3

Solving for x: Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

7x-3-x=x+3-x

6x-3=3

Adding 3 both sides of the equation:

6x-3+3=3+3

6x=6

Dividing both sides of the equation by 6:

6x/6=6/6

Dividing:

x=1 different to the intersection at x=-1, then this is not the equation.

Question 2 (Multiple Choice Worth 2 points) (06.03) Solve the system 2x + 3y = 3 and 3x − 2y = 11 by using graph paper or graphing technology. What is the solution to the system?

The solution to the system is (3, -1) Fourth option

Please, see the attached graph.

Question 3 (Multiple Choice Worth 2 points) (06.03) What is the graph of the system y = −2x + 3 and 2x + 4y = 8?

Third option: Line through point (0, 3) and (1, 1). Line through (0, 2) and (4, 0).

Please, see the attached graph.

Question 4 (Multiple Choice Worth 2 points) (06.03) Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?

Second option: Infinite solutions.

Please, see the attached graph.

Question 5 (Multiple Choice Worth 2 points) (06.03) At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to Mandy. He tracks his book reading with a table on his door. Using his table below, what month will Bill have read the same amount of books as Mandy?

Bill

Month Books

May 4

June 8

July 12

August 16

September 20

October 24

November 28

December 32

Books read by Mandy: y=16+2x

Numbers of months since april: x

May: x=1→y=16+2(1)=16+2→y=18 different to 4 (books read by Bill)

June: x=2→y=16+2(2)=16+4→y=20 different to 8 (books read by Bill)

July: x=3→y=16+2(3)=16+6→y=22 different to 12 (books read by Bill)

September: x=5→y=16+2(5)=16+10→y=26 different to 20 (books read by Bill)

October: x=6→y=16+2(6)=16+12→y=28 different to 24 (books read by Bill)

November: x=7→y=16+2(7)=16+14→y=30 different to 28 (books read by Bill)

December: x=8→y=16+2(8)=16+16→y=32 equal to 32 (books read by Bill)

Answer. Fourth option: December