MATHEMATICS MIDDLE SCHOOL

Please help asap For the graph shown, select the statement that best represents the given system of equations.
algebra unit 8 lesson 1 assessment question 4
2y – 3x = 9
4y + 3x = 12

A.
coincident

B.
not enough information

C.
inconsistent

D.
consistent and independent

Answers

Answer 1
Answer:

Answer:  D.   consistent and independent

Step-by-step explanation:

The given system is 2y-3x=9\n4y+3x=12

When we compare the coefficients of the corresponding variables of both the equations we get,

For y, (2)/(4)=(1)/(2)

For x, (-3)/(3)=-1

And (1)/(2)\neq-1,

⇒ The system in independent.

Therefore the system has one unique solution.

Since, if a system has a unique solution then the system is consistent .

Therefore, the system is consistent and independent.
Answer 2
Answer: The equtaion has only one solution because they cut each other only once and the are independent ..as both line are different. So it would be (d) consistent and independent

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What are the types of transformations in 8th grade Pre-Algebra?

Answers

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HOPE THIS HELPS!!!

A pizza parlor offers thin,thick,and traditional style pizza crust.You can get pepperoni,beef,mushrooms, olives,or peppers. You order a one- topping pizza. How many outcomes are in the sample space

Answers

You need to understand the different kinds of categories in order to solve this problem.

There are:
types of crusts - 3
types of toppings - 5

You multiply these together (3 x 5)

Your answer should be 15

If x + 7 divide by 13 equals 13 what is x

Answers

Answer:162

Step-by-step explanation:

(X+7)/13=13/1

Cross product

X+7=169

X=169-7

X=162

State whether every point on the graph is a solution of the equation. Explain why or why not.



3x – 2y = –6





A.
Every point shown on the graph is a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is true for all the points.


B.
Every point shown on the graph is not a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is not true for all the points.

Answers

I believe that the answer is A.

Every point shown on the graph is a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is true for all the points.

because if we take the points (0,3) from the picture and put in them in the equation, so it will gives you;

3x – 2y = –6 

3*0-2*3=-6

-6=-6

hope you understand it :)

20×+4=4(5x+1) how many solution are in this equation

Answers

Simplify both sides of the equation

(20)(4)= 4(5x+1)

Simplify

80 = 20x+4

Flip the equation

20x+4 = 80

Subtract 4 from both sides

20x+4-4 = 80-4

20x = 76

Divide both sides by 20

20x/20 = 76/20

x= 3.8


There is one solution in this equation

If x = 11 and y = 7, what is the value of the following expression?
x - 8 + 4y

Answers

I think it is 31 I might be wrong but I tried :)
If you change the x with the 11 and the y with 7, you subtract the 8 from 11, than add 4 times 7. And you get 31
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