What is the point of intersection when the system of equations below is graphed on the coordinate plane?
What is the point of intersection when the system of - 1

Answers

Answer 1
Answer:

Answer:

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

  you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

 first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

  vales of x, and on the graph they will be the same line for

  the two equations

∴ This system of equations has infinite points of intersection


Related Questions

A train travels with a constant speed of 86 kilometers per hour. How far can it travel in 4 hours
Enter the answer to the problem below, using the correct number or significan figures 100*3.25
Please help!!!!!!!!!!!!1) You have $20 in savings at the bank.Each week,you add $2 to your savings Let y represent the total amount of money you have saved at the end of x weeks.Write an equation to represent this situation, and identify the slope of the equation. What does that number represent?(aka interpret the slope) Show ALL work!!!!!!!!!!!!!!!!!!! please help
How many fractions are equivalent to 4/5. Explain
Please solve...Thanks

Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .

Answers

Answer:

y = 4x + 7

Step-by-step explanation:

parallel = same slope

y = 4x + b

plug in (-4, -9)

-9 = 4(-4) + b

-9 = -16 + b

b = 7

y = 4x + 7

Answer:

7=4x+7

Step-by-step explanation:

To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7

Help pleeeeaaaaaasssseeeeWhich number sentences show how to solve the problem?

The truck driver loaded 72 crates of eggs. There are 36 eggs in each crate. The driver will make 6 deliveries and unload the same number of eggs at each delivery stop. How many eggs will the driver unload at each stop?

Choose all answers that are correct.

A.
72 ÷ 6 = 12 and 12 × 12 = 144

B.
72 ÷ 36 = 2 and 2 × 72 = 144

C.
72 × 36 = 2,592 and 2,592 ÷ 6 = 432

D.
72 ÷ 6 = 12 and 12 × 36 = 432

Answers

You first need to know how many eggs there are altogether  -   72*36 = 2,592.
Then divide the answer by the number of stops (6)  -  2,592/6 = 432 are 'dropped off' at each stop. The answer is letter C

Hope this helps! :)

a grocery store sells 6-pack of bottled water for $3.79 a 9 pack for $4.50 and a 12 pack for $6.89 which package costs the least per bottle? explain your reasoning

Answers

Find the unit price (price per bottle) 
$3.79 ÷ 6 = $.63 a bottle (approximately)
$4.50 ÷ 9 = $.50
$6.89 ÷ 12 = $.57 (approximately)

So your best bet is the 9 pack.  
You will find that sometimes your best value is not to buy the greatest amount of a product.

What is the percent decrease from 60 to 39?

Answers

Answer: 35%

Step-by-step explanation: To find the percent decrease, we use the following formula.

(Amount-of-change)/(original-number)

The amount of change is the difference between the two numbers which in this case is 60 - 39 and the first number is 60.

(60 - 39)/(60)

60 - 39 is 21 so we are left with 21/60.

60 divided into 21 .35 times. However, our problem is asking for the percent which means we can move the decimal point two places to the right to get 35.

Therefore, the percent decrease is 35%.

That\ is\ a\ decrease\ of\ \boxed{35}\ percent.

Tabitha bought peppers that cost $0.79 per pound. She paid $3.95 for the peppers. How many pounds of peppers did she buy?

Answers

5 because $3.95 divided by $0.79 equals 5 pounds.
$3.95* (1 pound/ $0.79)= 5 pounds.

Tabitha bought 5 pounds of pepper~

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?

Answers

Answer: 5.2\cdot10^7\ km


Step-by-step explanation:

Given: The approx distance of planet Mercury from the Sun=5.8\cdot10^7\ km=58,000,000\ km

The distance of planet Venus from the Sun  =1.1\cdot10^8\ km=110,000,000\ km

We can see the

The difference distance of planet Venus from the Sun is more than the distance of planet Mercury from the Sun.

The difference between the distance = 110,000,000-58,000,000=52,000,000=5.2\cdot10^7\ km

Hence, the distance of Venus from the Sun is 5.2\cdot10^7\ km more than the distance of Mercury from the Sun.


mercury : 5.8 • 107 = 620.6
Venus : 1.1 • 108 =118.8

620.6 - 118.8 = 501.8

so Venus is about 501.8 kilometers from then sun then mercury