Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15

Answers

Answer 1

Answer:

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

Answer 2

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )


Related Questions

-4/6+-7/9
RATIONAL NUMBER
PLS HELP ME GUYS
IF U ARE THE FIRST PERSON TO ANSWER I WILL MARK U AS THE BRAINLIEST

Answers

[tex]-\frac{4}{6} + -\frac{7}{9}[/tex] = [tex]-\frac{13}{9}[/tex]

Step 1: Cancel 4/6 and change to 2/3.

[tex]= -\frac{2}{3} - \frac{7}{9}[/tex]

Step 2: Adjust Fractions based on the LCM.

The LCM of 3 , 9 : 9

[tex]= -\frac{6}{9} - \frac{7}{9}[/tex]

[tex]= \frac{-6 - 7}{9}[/tex]

Step 3: Subtract the numbers : - 6 -7 = -13

[tex]= -\frac{13}{9}[/tex]

Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?

Answers

Answer:

The answer is

[tex] \frac{3}{5} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]

We have the final answer as

[tex] \frac{3}{5} \\ [/tex]

Hope this helps you

3x + 2(4x - 4) = 3



HELPPPPPPPP!!!!!!!

Answers

Answer:

x=1

Step-by-step explanation:

Use the distributive property on 2(4x - 4), which makes the equation 3x+8x-8=3

Simplify, which makes the equation 11x-8=3

Add 8 to both sides, which makes the equation 11x=11

Divide both sides by 11, which makes the equation x=1

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.

Step-by-step explanation:

Answer:

a.  True

b.  True

c.  True

d.  True

Step-by-step explanation:

all true because the min height to ride the drop tower is 51 in

and the roller coaster is almost the same as 51 in.

if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.

,mmnj3gohb4yvgbuh4rbihb3rvhbeffhobvouwebohbewovjdkcbhoebfvhubefhvbhuewfbviohbefwovbehbvhebfphbpvibepivb4uhbvuohebfvhubefubvuhrb4ibeiovbivbiohefbvihiefbvhbehbvehvbhefbvhfobvubfrfibefiuuibubvfvneubvuhefbvuhb>>>
mkmm'nmlc
sorry out of order

Answers

Answer:

jdkskdjdjfnfnekeoeodnfnfnn;#>#[<:<:÷_9:÷8÷8_:>^:#<:8÷^8<#9<^g9su9ugsvy9e9uebu93vy838y3vy038j3b7496g4b79468g4bu940bev9urbd0ubdb0iuv0d0ibdv0ud9vy3 yv83 8y38 y y88_:-;0<#9_%;3636:04:9649660:3:_939_:$<$:9<#0;#_9^#:9<

7

just seven my dude or dudett

-3x+2<8 answer this equation

Answers

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2

X>-2


Move constant to the right side and change its sign

-3x<8-2

Subtract the numbers

-3x<6

Divide both sides of the inequality by -3 and flip the inequality sign

X>-2

Brainliest?

Solve |x + 3| = 7.
A. x= -4
B. x= 10
C. x= 4
D. x= -10

Answers

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Write the expression as a decimal number.
5×1+1×
1
10
+8×
1
100
+6×
1
1000
=

Answers

The answer would be 66.7

PLEASE HELP!!! Write a quadratic equation if its roots are: [tex]\sqrt{3} -1/2[/tex] and [tex]\sqrt{3} +1/2[/tex]

Answers

Answer:

x²- √3 x +1/2

Step-by-step explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2

2 5 x y + =
Solve for Y
Please hellppppppppp

Answers

I do not think all of the question is there.

25 X y = / y would have to

solve the equaton 3x+5y=15 for y

Answers

Here is the answer, I hoped I could help
you can’t. i don’t think there are enough like ‘circumstances’ to solve this problem. you’ll need more than one equation

I been trying to figure the question out for the past 20 minutes and I can’t find the answer please help. (Question in picture)

Answers

Answer:

  125°°

Step-by-step explanation:

∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.

  ∠DFC = 90° +35°

  ∠DFC = 125°

_____

Alternate solution

∠CFA = 90° = ∠CFB +∠BFA

∠CFB = 90° -35° = 55°

∠BFC and ∠CFD are a linear pair, so total 180°

∠CFD = 180 -55° = 125° = ∠DFC

Which relation represents a function?

Answers

Answer:

{ (-2,2) , (0,2) , (7,2) , (11,2) }

Step-by-step explanation:

Your x variable cannot repeat.

y-3x=13 solve for y​

Answers

Answer:

Y=13+3x

Step-by-step explanation:

You add 3x to both sides and get

y= 3x+13

Answer 2 question plz ASAP

Answers

Answer:

True on both.

Step-by-step explanation:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink).

I don't know. can someone help please??​

Answers

Answer:

what

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

__

PQ means the whole length of PQ, same goes to the others (QR and PR)

The first option means the angles P, Q and R

The second option means the points P, Q and R

8a to the power of 6 times a to the power of 4 over 4a to the power of -3

Answers

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

(-1,0) (-10,-1) find coordinates

Answers

Answer:

Use a graph calculator

Step-by-step explanation:

is 42 already already in simplest form.do you agree or disagree?explain ​

Answers

Answer:

Yes the number 42 is at its simplest form.

Step-by-step explanation:

Any whole number is already at its simplest form.

Agree. 42 is at simplest form already

what is the answer to numba 4

Answers

Answer:

B

1/2

one half

Step-by-step explanation:

Y = mx + b

m = slope

b = Y intercept

please help me i am so lost

Answers

The Answer is 14175
When it’s Area you multiply the numbers
I hope this helps

This summer Paige's town will be hosting a series of 9 concerts. There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200. If x and y represent the number of tickets Paige purchased for the 2 types of seats, which system of inequalities could Paige use to model this situation?

Answers

Answer:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.50x + 43y ≤ 200

Step-by-step explanation:

From the question we are told that:

If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.

The inequalities that models the situation above is given as:

x ≥ 0

y ≥ 0

x + y ≥ 5

Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.

The inequalities that models the situation above is given as:

29.50 × x + 43.00 × y ≤ 200

29.5x + 43y ≤ 200

Therefore, the system of inequalities that could Paige use to model this situation is:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.5x + 43y ≤ 200

Answer:

d) x ≥0

y ≥ 0

x + y ≥ 5

29.5x + 43y ≤ 200

Step-by-step explanation:

Explain, in your own words, how to solve two-step equations.




WILL GIVE 15 POINTS

Answers

If the equation was 3x-4=15 you would add 4 to both sides which would get 3x=19 so then you would do divide 3 on both sides and you would get x=19/3

Confused a little pls Help me out. ​

Answers

Answer:

The answer is on point (3,1)

Answer:

(-4,8) and (-4,-6)

Step-by-step explanation:

As you can see, in the answer I have provided above, the x-coordinates are the same and these points are 7 units away from point D as well.

PLEASE MARK ANSWER AS BRAINLIEST!!!

A land is in the shape of a semicircle with radius 10m.How much wire is needed to fence the plot

Answers

Answer:

31.42m for a single layer

Use the diagram to help you solve the problem.
A pair of shoes has an original price of $65 but is on
sale for a 20 percent discount. What number can you
multiply by $65 to get the discounted price of $52?
O 0.20
O 0.50
O 0.80
O 0.90

Answers

Answer:

C

Step-by-step explanation:

Just took it

your correct answer is C

(0.80)

Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.

Answers

Given:

Point O is on line segment NP.

OP=10, NP=2x, and NO=x+7.

To find:

The numerical length of NO.

Solution:

If point O is on line segment NP, then by segment addition property, we get

[tex]NP=NO+OP[/tex]

[tex]2x=(x+7)+10[/tex]

[tex]2x=x+17[/tex]

Subtract both sides by x.

[tex]2x-x=17[/tex]

[tex]x=17[/tex]

The value of x is 17.

Now,

[tex]NO=x+7[/tex]

[tex]NO=17+7[/tex]

[tex]NO=24[/tex]

Therefore, the numerical length of NO is 24units.

James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply.

Answers

Answer: $28,000

             +$1,000

               $29,000

Wats the equation??
9/4 = Division 4

Answers

9/4 = 9 divided by 4

solve this equation- x+3=x+3

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Write out equation

x + 3 = x + 3

Step 2: Add x to both sides

2x + 3 = 3

Step 3: Subtract 3 on both sides

2x = 0

Step 4: Divide both sides by 2

x = 0

Answer:

Step-by-step explanation:

x + 3 = x + 3

3 = 3

infinitely many solutions

Other Questions
Points P, R, and S, are collinear such that R lies on PS. It is known that the ratio ofPR: RS = 1/3}. Find the location of coordinate R if P is located at (-2,-6) and islocated at (10,30). Find the midpoint of the segment with the following endpoints.(-1,9) and (-7,1) Mom! I bumped my head on the dresser and it hurts!Mom! Mom! MOM!What should the child do?A) go to his motherB) continue calling his motherC) get an ice pack D) sit and do nothing (I made this question up) HELP!!!!!!!!!!!!!!!! URGENT question below Which describes an atom that has fewer neutrons and protons and more electrons than protons can you please help me out with these questions! PLEASE DONT COMMENT ANYTHING IF U DONT HAVE THE ANSWERS!!! Round 3,567 to the nearest thousand 7 - 5/2 (8r - 6) + 2r =32 Who came to Georgia in search of religious freedom?Highland ScotsSalzburgersmalcontentstrusteesHURRY WILL GIVE BRAINLIEST If f(x) = 2 - x, express 2f(a) + f(2a) in simplest form. If AABC = ADEC,B = 48 and E = x + 4ABEx = [?] Most brainliesttttttttttttttttttttttttttt 57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/ Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of Emilys stock? $13.77 $7.56 +$7.56 +$13.77 Please help me fill this out! Will give brainliest answer and a heart (probably good reviews too) thank you! Giving brainliest!!!! Questionsa Describe how the atmosphere at a Nazi rallywas built up.b. What effect did this atmosphere have on theaudience? What does William Shirer think of themeeting? How can you tell?d If his evidence is biased, does that mean it isno use to a historian? Explain your answer. Cholera is a disease that is spread in water. Which would be the most practical way to prevent the spread of cholera in a human population? adding antibiotics to the water irradiating the water improving sanitation restricting use of natural water sources WILL GIVE BRAINLIESTRead this example. Cherise is given this writing prompt in class: Write a personal narrative essay that describes a significant experience at school that has shaped your identity. Cherise decides that she is going to write a narrative essay that describes how her experience trying out for the cheerleading squad has helped her overcome her shyness and be comfortable in front of an audience. Which statement best describes Cherises response to the prompt? O Cherises topic is acceptable, but it is not in the correct format.O Cherises topic is not acceptable, because trying out for cheerleading is not a significant school experience. OCherises topic is not acceptable, because it is not from her own experience.O Cherises topic and format are both acceptable, because they carefully follow the prompt. simplify the following expressions ( use distributed property ) Which factor is an internal pressure that may lead a person to use nicotine?o cultural normsO TV commercialO celebrity behaviorO stress