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

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

Wats the equation??
9/4 = Division 4

Answers

9/4 = 9 divided by 4

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

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)

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

-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]

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.

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

please help me i am so lost

Answers

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

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

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

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

Answers

Answer:

Use a graph calculator

Step-by-step explanation:

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:

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

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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

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

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

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!!!

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

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

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).

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.

Which relation represents a function?

Answers

Answer:

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

Step-by-step explanation:

Your x variable cannot repeat.

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

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

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

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

-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?
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