solve the system of equations algebraically y = 4x + 2 y = -2x + 6

Answers

Answer 1

Answer:

x=-3

y=12

Step-by-step explanation:

y=4x+2y

-y=4x

y=-4x

y=-2x+6

-4x=-2x+6

-2x=6

x=-3

y=-4x

y=-4(-3)

y=12

Brillianst!!! please!!!

Answer 2

The solution to the system of equations is:

x = 2/3 and y = 14/3

We have,

Since both equations are equal to y, we can set them equal to each other and solve for x:

4x + 2 = -2x + 6

Adding 2x and subtracting 2 from both sides, we get:

6x = 4

Dividing both sides by 6, we get:

x = 2/3

Now that we have a value for x, we can substitute it into either equation to find the corresponding value of y.

Let's use the first equation:

y = 4x + 2

y = 4(2/3) + 2

y = 8/3 + 2

y = 14/3

Therefore,

The solution to the system of equations is:

x = 2/3 and y = 14/3

Learn more about solutions of equations here:

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Related Questions

Jackie bought 100 stamps. Each stamp cost $0.37. How much did Jackie spend?

Answers

1.06 because I had that question before

Plz help.
I will mark Brainlyist

Answers

Answer:

the answer is 2hsox864

Step-by-step explanation:

so I'd you with all the way I wasn't really going on the road to be there today because I have to be with my mom said to me that was the first one I've been to know you can do that is weird but you have a lot to say that I have to say that you have to do it this is what I sent you and you can be a witch and you will be able and I dont you are so

Megan finds a bag of 24 craft bows at the store. The bag indicates that 23 of the bows are striped. Megan wants to know the number of bows in the package that are striped. Select ALL the statements that are true.

Answers

Answer: B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

Step-by-step explanation:

Here's the options:

A. Megan can divide the number 3 by 24 and then multiply the result by 2 to find the number of striped bows.

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

D. Megan can multiply the number 24 by 3 and then divide the result by 2 to find the number of striped bows.

E The number of striped bows in the package is 36.

F The number of striped bows in the package is 16.

The number of bows in the package that are striped will be calculated as:

= 2/3 × 24

= 16

Based on the options given, the correct answers will be:

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

The correct options are B, C and F.

What is 71% written as a decimal? -)) A) 0.071 B) 0.71 C) 7.1 D) 71​

Answers

Answer:

0.71

Step-by-step explanation:

Answer:

B. 0.71

Step-by-step explanation:

Need help with 23-27 pls​

Answers

Answer:

23. area is 364cm

Step-by-step explanation:

hope this helps

Add 3p2q

3+ 7 pq2+1 and – 8pq2

-2p2q

3​

Answers

did u say the answer ?

If there is a 70% chance of rain what is the probability that it will NOT rain

Answers

Answer:

uh 30

Step-by-step explanation:

Apply the Distributive Property Of multiplication in making an equivalent expression.

2.) 2(4 + x)​

Answers

2 x 4 = 8
2 x X = 2x
so 8 + 2x

10)A contractor is building the base of a circular fountain. On
the blueprint, the base of the fountain has a diameter of 9
centimeters. The blueprint has a scale of three centimeters
to four feet. What will be the actual area of the base of the
fountain, in square feet, after it is built? Round your answer
to the nearest tenth of a square foot.

Also explain:)

Answers

Answer:

113.1 ft²

Step-by-step explanation:

The scale:

3 cm ⇔ 4 ft

Diameter of base of fountain:

9 cm ⇔ 12 ft using the above scale

Area of the base:

A = πd²/4A = π*12²/4 = 113.097 ≈ 113.1 ft² (rounded)

Cooper is going to invest $2,100 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Cooper to end up with $5,300?

Answers

Answer:

6.6

Step-by-step explanation:

I just did this :)

The interest rate annually will be 6.6% for the given compound interest will be 6.6%.

What is compound interest?

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

As per the given,

Principle amount P = $2100

Time period T = 14 years

The annual rate of interest is R

Total investment = $5300

Number of times interest applied per time period n = 12

By compound interest formula,

5300 = 2100[1 + R/(100)]^(12 x 14)

(1 + R/1200)¹⁶⁸ = 5.524

1 + R/1200 = 5.51 x 10⁻³

R = 6.6% annually

Hence "The interest rate annually will be 6.6% for the given compound interest will be 6.6%".

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If x = 3, y = 4 and z = -2, then 5x - 2y - z =

Answers

Answer:

9

Step-by-step explanation:

Hey There!

So for this problem all we have to do is plug in the given values into the expression so now we have

5(3) - 2(4)  - -2

5x3=15

-2x4=-8

now we have

15-8-(-2)

15-8=7

7-(-2)

remember when you subtract a negative number the two negative signs cancel out and turn into a positive so instead of

7--2 it would be 7+2

7+2=9

so the answer is 9

The1AndOnlyMarkus

Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!

Answers

Answer:

(-13/2,5/2)

Step-by-step explanation:

-5+(-8)/2,(0+5)/2

-5-8/2,5/2

-13/2,5/2

Answer:

B(-2, -5)

Step-by-step explanation:

Points given:

M(-5, 0) - midpoint A( -8, 5) - endpoint B(x, y) - endpoint

Use midpoint formula to find the coordinates of B:

x = (x1 + x2)/2, y = (y1+ y2)/2

Substitute known values and solve for x and y:

-5 = (-8 + x)/2 ⇒ -10 = -8 + x ⇒ x = -10 + 8 ⇒ x = -2 0 = (5 + y)/2 ⇒ 0 = 5 + y ⇒ y = 0 - 5 ⇒ y = -5

Point B is:

(-2, -5)

the sum of the digits of the two-digit number is 5. when the digits are reversed, the number increases by 27. Find the original number.​

Answers

The original number is 14
The answer is 14.

“The sum of the two digit number is 5”

1 + 4 = 5


“When the numbers are reversed the number increases by 27.”

14 reversed is 41.

41 - 14 = 27

So, the number is 14.

pls help with this question

Answers

Answer:

B, 11

Step-by-step explanation:

The Triangle Angle Sum Theorem states that the interior angle of a triangle adds up to 180 degrees, which means...

90 + 46 + 4x = 180

136 + 4x = 180

4x = 44

x = 11  

How to solve this?
Please explain step by step

Answers

Answer:

Check pdf

Step-by-step explanation:

Marshall baked two kinds of cakes. Each cake was the same size. He served 1 half of the marble cake. He served 1 third of the lemon cake. If each cake had 6 pieces to​ start, what fraction in sixths of the lemon cake did he​ serve? How many more pieces of the marble cake than the lemon cake did

Answers

Answer:

He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.

Step-by-step explanation:

A third of 6 is 2 and half of six is 3.

can someone help ill give more points if its right

Answers

Answer:

C=3/2

Step-by-step explanation:

change the fractions into decimals and you get .75 and .50

75/50 is simplified to 3/2.

If the area of a rectangle is 64cm squared, how many different perimeters are possible when the dimensions are whole numbers

Answers

Answer:

2 different perimeters, 32 cm and 40 cm

Step-by-step explanation:

Given the area of a rectangle is 64 cm squared.

We know, Area of the rectangle is = length x breath

∴  64 = 8 x 8

Hence the sides can be 8 cm by 8 cm.

So the perimeter of the rectangle is = 8 cm + 8 cm + 8 cm +8 cm

                                                            = 32 cm

Also, Area of the rectangle is = length x breath

∴  64 = 16 x 4

So the perimeter of the rectangle is = 16 cm + 4 cm + 16 cm +4 cm

                                                            = 40 cm  

What is the solution to the equation below? Round your answer to two decimal places. 6 • e^x =25

A. X= 1.43
B. X= 0.62
C. X=64.50
D. X= 11.33

Answers

Answer:

5

Step-by-step explanation:

i think 5= 25 divided 5 or 2 decimal point

Find the length of an arc intercepted by a central angle o in a circle of radius r.
r= 30.14 ft, 0 =Pi/25 radians
A. 11.4 ft
B. 1.9 ft
C. 7.6 ft
D. 3.8 ft

Answers

Answer:

D. 3.8 ft

Step-by-step explanation:

circumference = 2π * 30.14

arc length = 2π*30.14 * (π/25) / 2π = 60.28π/50 = 3.7875 ≈ 3.8

a graph...................

Answers

My answer:
I’m pretty sure it’s A. Correct me if I’m wrong

A city planner would like to estimate the true mean annual income of all households in the city. She selects a random sample of 50 households and determines that the 99% confidence interval for the true mean annual income of all households in the city to be $42,000–$68,000. Which of these statements is a correct interpretation of the confidence level?

Answers

Answer:

If many random samples of size 50 are selected from all households in the city, approximately 99% of the intervals would capture the true mean household income.

Step-by-step explanation:

EDGE2021

help help help help help help help help help help help help help help help help help help help help help help​

Answers

there’s literally no math in front of my face

Answer:

Excuse me? But I think we need information from before that question other wise that's useless and no one will be able to help you with this.

Step-by-step explanation:

Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?

A.$18
B.$10
C.$12
D.$8

Answers

The correct answer is A. $18

8 x 125% or 8 x 1.25 = 10

Add $10 to $8 and you get $18

WILL GIVE BRAINLIEST ANSWER!!
What is the markup price for a computer that costs $500 and the percentage of markup on cost is 15%? (Markup is cost
multiplied by percentage then add)

Answers

$575 would be the answer. :)

Answer:

$575

Step-by-step explanation:

15% if 500= 15/100 ×500= 75

75+500=575

p ⋅ 4,600 = 6,440 There was a % percent increase in video game sales.

Answers

Answer:

the main reason why theres a rise in game sales is bc there are more ppl getting bored during the pandemic

System of equations that have the same slope have what kind of lines?

Answers

Answer:

parallel lines

Step-by-step explanation:

with an infinite number of solutions

Answer:

I think you are intended to answer parallel lines

Step-by-step explanation:

There are two answers to this.

1) The lines could be parallel if their y intercepts are different.

2) The lines are different forms of the same line.

For example

parallel:

y = 3x + 5y = 3x - 2

Different forms of the same line.

y = 4x + 22y = 8x +4

The second condition is termed consistent. The second condition is of 2 lines with the same slope and the same y intercept.

In a survey, a group of students were asked to name their favorite subject. There were 20 students who chose "other" subjects.​ How many students participated?

Answers

10 because normally in class theres 30

6x-5y-z=7 i have to eliminate x
the full question is
2x+y-3z=5
2x+3y+z=13
6x-5y-z=7

Answers

Answer: 2y - 20z = -16

Step-by-step explanation:

6(2x+y-3z) = 5(6)

=> 12x + 6y- 18z = 30

3(2x + 3y + z) = 13(3)

=> 6x + 9y + 3z = 39

Now minus the top equation from the bottom two:

12x + 6y - 18z = 30

6x + 9y + 3z = 39

6x - 5y - z = 7

12x + 6y - 18z = 30

12x + 4y + 2z = 46

Minus top from bottom:

2y - 20z = -16

solve for x 10x-27. 3x-4

Answers

= 9.71 Only way I could think of to solve it

Step-by-step explanation:

10x-72=3x-4

7x=68

x=9.71

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