Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20​

Answers

Answer 1

Answer:

First multiply the first equation by 2

2(2x + y = 25)

You'll have

4x + 2y = 50

Rewrite both equations

4x + 2y = 50

3x - 2y= 20

Add from the first equation you'll get

7x = 70... X = 10

Substitute x in one of the equations:

3(10) - 2y = 20

30 - 2y = 20

-2y = -10

y = 5


Related Questions

Find the x-intercept of the following equation: 9x^2 + 2y=18

Answers

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

add 10 to z, then double the result
Do not simplify any part of the expression.

Answers

2(z+10)

2z+20

Answer:

2z+20

IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!

Answers

Answer:

a^2 b^7

Step-by-step explanation:

I believe this is right

Please please help!!!!

Answers

Answer:

4.75

Step-by-step explanation:

Answer this for 10 points

Answers

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt

Answers

Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

What is the total Fatima paid?

Answers

A.
You have to $129.95 * 5 because 5 were purchased and that would give you $649.75 then you add delivery fee $76.20 for delivery fee.

The quotient of 9 and 3 subtracted from the product of 6 and 2

Answers

Answer:

(6⋅2)−(9/3)

Simplify each term.

12−3

Subtract 3 from 12.

9

Step-by-step explanation:

It takes a racecar 47 seconds to complete one lap on a 3,200-meter track. What is the racecar's average speed during the lap? A. 150 m/s B. 68 m/s C. 15 m/s D. 79 m/s

WILL NAME BRAINLIEST

Answers

The answer is (B) hope it helps

Neee help right answers please

Answers

Answer:

Step-by-step explanation:

Divided the first 2 numbers by eachother and then by four use a calculator

Answer:

1146198.07

Step-by-step explanation:

Express in the form 1:n
Give n as a fully simplified fraction.
4:6​

Answers

Answer:

1:1.5

Step-by-step explanation:

Divide both numbers by 4 to get 1:1.5

calculate the gross margin if the selling price is $264 and the cost is $214

Answers

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Does anyone know this ??

Answers

Answer:

C

Step-by-step explanation:

because I took the test

5 + 0.55x = 10 + 0.75x pls help and explain ​

Answers

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length

Answers

Answer:

A .part of a line that has two end points

7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?

Answers

Answer:

100-32=68

Step-by-step explanation:

there are 68 feets on the playground

Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?

Answers

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?

Answers

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

look at pic 10 pts will mark brainilest

Answers

Answer:

A

Step-by-step explanation:

It’s a

Answer:

A

Step-by-step explanation:

this isa because the 2 rectangles on the net will make the sides and the triangles will finish the prism when u fold it it will be a rectangular prism plz mark me brnliest ill send u friend request

Guys can you help me please :( ASAP

Answers

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.​

Answers

Answer:

Heather is correct.

Step-by-step explanation:

Two figures are similar if the figures have the same shape but different size

Two figures are congruent if they have the same shape and size.

So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.

Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)

Then Heather is correct.

Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?

Answers

Answer: Tammy would have 9

Step-by-step explanation:

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

Find the measure of a 3.
ts
43
90°
<<
43 = [?]

Answers

The correct answer is 90

A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?

Answers

Answer:

288

Step-by-step explanation:

you would do 180 devided by 3 then multiply that number by 5

Find the measure of A,B and C. ​

Answers

Here’s what I got
A 43
B137
C137

The square of an integer is 5 more than 4 times the integer. Find the integer.

Answers

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

Leearn more here: https://brainly.com/question/13805464

olve the system of linear equations by graphing. =3+3 - 2x - 3 ​

Answers

Answer:

If the equation is actually typed like that the answer will be

3-2x

If is typed like this 3-2x-3+3=

It will be

-2x+3

What is the product?

Answers

Answer:

I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am

Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)?

Answers

Given:

[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.

Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.

[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]

[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].

Select the correct answer.

A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.

p(x) = -10x^2 + 498x - 1,500

what is the company's profit if it sells each sign for $20?

A. $18,020
B. $4,460
C. $14,420
D. $1,402

Answers

The profit made id each sign is sold for $20 is $4460

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

Learn more : https://brainly.com/question/18109354

Answer:

$4,460

Step-by-step explanation:

I got a 100% on my test

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