Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

Answers

Answer 1

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

-------------------------------------------------------------------------------------------------------------

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

-------------------------------------------------------------------------------------------------------------

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4              [subtract both sides by 2x]

y=-2x+4

-4x-2y=8           [add both sides by 4x]

-2y=4x+8          [divide both sides by -2]

y=-2x-4

-------------------------------------------------------------------------------------------------------------

If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.


Related Questions

yesterday jack drove 33 1/2 miles. He used 1 1/4 gallons of gasloine

Answers

Jack then had an accident and he went to the hospital where he proceeded to have an awfully painful death

I tried using a protractor but i kept getting it wrong? can you help me anyone?

Answers

Ask the teacher to show you how to use the protector and maybe that should help once you do that you write down what you have on your protector on the answer box

Find the value of x in each case:

Answers

Answer:

x=15

Step-by-step explanation:

5x+(180-9x)+(180-8x)=180

total of a triangle angles is 180

Answer:

15°

Step-by-step explanation:

Step 1:

180° - 8x + 5x + 180° - 9x = 180°    Sum of Triangle

Step 2:

360° - 12x = 180°     Algerbra

Step 3:

- 12x = 180°      Algerbra

Step 4:

12x = 180° Algerbra

Answer:

x = 15°

Hope This Helps :)

What I am really in need of help. If anyone answers this I will award 60 points to anyone!

Answers

There is usually calculator that will solve it for you look for them just plug the question in and it can show the steps too

If he watches all the movies that are 1 3/4 hours long how long will it take

Answers

It will take 10 and 30 mins


Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m

Answers

Answer:11.5

Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr

Need help please. Please help me.

Answers

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

It's important to note here that fractions are just another way of representing division.

Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].

To divide two fractions, we multiply by the reciprocal.

[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]

We can now multiply the numerators and denominators.

[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]

We can simplify this fraction by dividing both the numerator and denominator by 2.

[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]

So, [tex]\frac{5}{14}[/tex].

Hope this helped!

Andrew is taking a multiple choice test with a total of 80 points available. Each
question is worth exactly 2 points. What would be Andrew's test score (out of 80) if
he got 8 questions wrong? What would be his score if he got x questions wrong?

Answers

Answer:

Andrew's test score if he got 8 questions wrong = 64 points

Andrew's test score if he got x questions wrong = 80 - 2x

Step-by-step explanation:

Total points of the multiple choice test = 80

Each question = 2 points

Total questions = Total points of the multiple choice test / 2 points

= 80/2

= 40

Total questions = 40

A. What would be Andrew's test score (out of 80) if he got 8 questions wrong

If he got 8 questions wrong out of 40 questions

= Total question points - wrong question points

= 40*2 - 8*2

= 80 - 16

= 64 points

Andrew's test score if he got 8 questions wrong = 64 points

B. What would be his score if he got x questions wrong?

Test points if he got x questions wrong = Total question points - wrong question points

= (40 * 2) - (x * 2)

= 80 - 2x

Andrew's test score if he got x questions wrong = 80 - 2x

A new zoo is coming to your city and they want to give away prizes. Every 4th customer will receive a panda hat, every 10th customer will receive a giraffe beach towel and every 20th customer will receive a stuffed gorilla. Out of the first 100 people to enter the zoo how many will get all three items?

Answers

Answer:

5 people

Step-by-step explanation:

Let's find LCM of 4, 10 and 20:

4 = 2*210 = 2*520 = 2*2*5

LCM(4,10,20) =2*2*5 =  20

There are 100/20 = 5 twenties in 100

So every 20th person will get all 3 prizes, in total 5 people

55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest

Answers

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)

When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE​

Answers

Step-by-step explanation:

He grew 65cm a year??? Omg

I think it is

65cm x 4(years)= 260cm

150.25 + 260= 410.25cm

So, when he was 15 years old he was 410.25cm tall

Explain how you can use grouping to make multiplying three factors easier.

Answers

Answer:

no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answers

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

-2(3a^4) simplify using the laws of exponents

Answers

Answer:

-6a^5

Step-by-step explanation:

pls give me brainliest

what is 143x+4=12 please help

Answers

Isolate the variable by dividing each side by factors that don’t contain variables.


Answer: 8/143
x= 8/143

First you need to move the constant to the right of the equals sign. = 143x=12-4

Second you need to calculate it when the constant is on the right side. = 143x=8

lastly you need to divide both sides. (both sides divided by what ever number doesn’t have a variable next to it so that would be the right side on this question)

Hope this helps !!
Good luck doing school tomorrow you should go to sleep soon !!

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

-3/4 that is the slop of the line in graph

Answer: -3/4

Step-by-step explanation: I'M SMART

Which of the following expressions are equivalent to this expression: -1(0) = ?
-1[4 + (-4)]
-1[4 + (4)]
1 + [4 + (-4)]
-11-4+ (-4)]​

Answers

Answer:

a

Step-by-step explanation:

trust

Answer:

A

Step-by-step explanation:

The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the park?

Answers

Answer:

2250m^2

Step-by-step explanation:

In this exercise, we are going to be converting from cm to m, since we are asked to provide our answers in meters

Given that the scale is  1.0 cm = 4.5 m

let us convert the 10cm to the actual length

1 cm------4.5m

10 cm------x

x= 4.5*10

x= 45m

Also for the 5 cm

1 cm------4.5m

5 cm------x

x= 5*10

x= 50m

Hence the area of the actual rectangular park is

45*50= 2250m^2

what is 02.15cm in meters

Answers

Answer:3200

Step-by-step explanation:

If you count to 100 by 2, how many numbers will you say?

Answers

50 would be the answer 100 divided by 2 I believe

Answer:

If you start at 0, 51.  If you start with 2, 50.

Step-by-step explanation:

The amount of numbers that will be said are simply 100/2 which is 50 since counting by two is the same as the amount of even numbers up to 100.  If you start at 0, simply add an additional count, making 51.

Cheers.

combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?

Answers

Answer:

23x-40

Step-by-step explanation:

(-5x10) (-2x-5)

v

-5(3x+10)-2(4x-5)

v v v v

-15x -50 -8x 10

combine like terms

-15x-8x= 23x ( 2 negatives make a positive)

-50+10= -40

23x-40

A gopher begins at 7 inches below the surface of a garden and digs
another 9 inches. Which expression represents this problem? *

7-9
9-7
-7-9
-7-(-9)

Answers

-7-9, because he already starts below the surface by 7 feet then digs 9 inches lower

A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tall is the building

Answers

Answer:

i think the answer you're looking for is 60

Step-by-step explanation:

24-9=15

45+15=60

what’s 2 miles divided by 3

Answers

answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet

Which of the following are coplanar??

Answers

Answer:

Points T, R and Q are coplanar

Step-by-step explanation:

They are all lying on plane P

HELP PLZZZZZZZZZZZZZZZ!!!!!!! ASAP
The graph represents the number, in millions, of farmers with small farms in the United States since the year 1935.

Which statement about the exponential function represented on the graph is true?
A.) Initially, there were about 660,000 farmers and the growth rate is positive.
B.) Initially, there were about 660,000 farmers and the growth rate is negative.
C.) Initially, there were about 6,600,000 farmers and the growth rate is positive.
D.) Initially, there were about 6,600,000 farmers and the growth rate is negative.

Answers

Answer: The answer is D Alpha

You very welcome alpha

Answer:

D

There were about 6,600,000 farmers and the growth rate is negative

Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.

Answers

Answer:

2) Exact

3) Exact

4) Exact

5) Approximation

Step-by-step explanation:

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]

Remove brackets and flip the sign in the brackets:

[tex]2x-3y+5-x+3y=11-2x[/tex]

Group the similar terms together:

[tex]-3y+3y+2x-x+5=11-2x[/tex]

Add/subtract the terms:

[tex]x+5=11-2x[/tex]

Subtract 5 from both sides:

[tex]x+5-5=11-2x-5[/tex]

[tex]x=-2x+6[/tex]

Add 2x to both sides:

[tex]x+2x=-2x+6+2x[/tex]

[tex]3x=6[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{6}{3}[/tex]

[tex]x=2[/tex]

Kyle has $25 and gets a job walking Chihuahuas for $2 per hour. Sophia has $4 and walks Rottweilers for $9 per hour. How many hours will they both have to work to have the same amount of money?

Answers

Answer:

  3 hours

Step-by-step explanation:

Let k represent Kyle's balance after h hours. Let s represent Sophia's balance after h hours. Then we have ...

  k = 25 +2h

  s = 4 +9h

We want to find h so that k=s:

  25 +2h = 4 +9h

  21 = 7h . . . . . subtract 4+2h

  3 = h . . . . . . . divide by 7

If both work 3 hours, they will have the same amount of money.

Is the value of these expressions the same?
Explain.
4 x 6 - 4
4 x (6-4)

Answers

Answer:

24-4= 20

4×2= 8

Step-by-step explanation:

4 by 6 is 24 minus 4

6-4 is 2 by 4 is 8

Answer:

no

Step-by-step explaination:

first equation: well, you first do 4x6, witch is 24, then you subtract the 4, witch is: 4x6=24, 24-4= 20

second equation: since 6-4 are in bracets, you do that sum first, witch is equal to 2, then you multiply that result by 4, witch is 8, conclusion: (6-4)=2, 2x4=8

answere: 20 deos not equal to 8, so, no.

(sorry if my explaination is bad, im new here)

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