solve simultaneous equations 4x+2y=7
3x-5y=-24

Answers

Answer 1

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)


Related Questions

quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

ABCD-AEFG

Step-by-step explanation:

In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?

Answers

Answer:

-9 points

Step-by-step explanation:

Due in 3 minutes please help

Answers

Answer:

1847 - 24% decrease

1848 - 68.42% increase

Hope this helps.

Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units​

Answers

Answer:

V= 5 X=6

Step-by-step explanation:

Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)

Answers

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

only 1 question!
Please help I’ll mark brainliest!!!

Answers

Answer:

Wouldn’t y be 4 and x be 1?

Answer:

Y = -1X + 5

Step-by-step explanation:

I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.

Hope this helps! Let me know!

PLEASE HELP ASAP, WILL MARK BRAINLIEST

Answers

Answer:

[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]

Hopes it helps you ☺️☺️

Thank you ☺️☺️

Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows: \text{P(Soup ready first}) = \dfrac15P(Soup ready first)= 5 1 ​ start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction \text{P(Salad ready first}) = 0.45P(Salad ready first)=0.45start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45 \text{P(Sandwich ready first}) = 35\%P(Sandwich ready first)=35%

Answers

Ready. 33% of 100% 5

You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).

How do you calculate the x-intercept of a line written in Standard Form?

Answers

To calculate the x-intercept of a line written in standard form you simply remove the "y" and solve for x. And you remove the "x" when solving for y.

y=0 , solve for x
x=0 , solve for y


Here is an example: (solving for x)

2x + 3y = 6
2x + 3(0) = 6
2x = 6
2x/2 = 6/2
x = 3

Here is an example: (solving for y)

2x + 3y = 6
2(0) + 3y = 6
3y = 6
3y/3 = 6/3
y = 2

Insect is crawling in a straight line at a speed of 12cm/s how far will the insect travel in 35 seconds

Answers

Answer:

420cm

Step-by-step explanation:

speedxtime=distance

12x35=420

Answer:

Distance = 420cm/s

Step-by-step explanation:

We have been given that Insect is crawling in a straight line at a speed of 12cm/s.

We have the following outcomes from the question.

Speed of insect = 12cm/s

So, We need to find the distance which can be reached out by insect in next 35 Seconds.

We are familiar with distance formula which is given by , Distance = Speed × Time

Distance = Speed × Time

Or, Distance = 12cm/s × 35

Or, Distance = 420 cm/s

Therefore, Insect is crawling in a straight line at a speed of 12cm/s, 420cm/s will the insect travel in 35 seconds.

What is the price of one cookie?

Answers

Answer:

$3 for one cookie

Step-by-step explanation:

Divide  18  by  6

the town of sharon hill is a perfect squre with an area of 9 squares miles the length of each side of town measure how long ?

Answers

Answer:

2.25

Step-by-step explanation:

Since its a perfect square and you know the area, all you have to do it divide 9 by 4

Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?

Answers

Answer:2.97 ×10 − 19 J

What are rational numbers

Answers

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?

Answers

Answer:

The total weight of the smaller packages is 84 lb

HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16

Answers

not sure but i think either b or d but u can cross off a
The answer is d 16 hope it’s right

SOME 1 HELP WITH 11 PLZZZZ

Answers

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

Which graph represents the solution set for the compound inequality below?

Answers

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?

Answers

Answer:

It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.

Step-by-step explanation:

Speed of Jane, [tex]v_1=3[/tex] mph

and the speed of Jillian, [tex]v_2= 5[/tex] mph.

Length of one complete circle = 8 miles.

Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.

Let the length covered by Jane via path OAP= x miles.

[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]

[tex]\Rightarrow t=x/3 \cdots(i)[/tex]

The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles

[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]

[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]

Now from equation (i) and (ii),

[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]

[tex]\Rightarrow 5x=3(8-x)[/tex]

[tex]\Rightarrow 5x+3x=24[/tex]

[tex]\Rightarrow x=3[/tex]

So, the distanc covered by Jane = 3 miles and

the distanc covered by Jillian = 8-3=5 miles

From equation (i), time taken, t = 3/3= 1 hour.

So, it will tale 1 hour before they meet.

As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.

Equivalent ratio word problems (basic)
Ingredient
Amount
Graham crackers
2
Chocolate squares
8
Marshmallows
3
How many s'mores can Kora make if she has 20 graham crackers?
Repo
Stuck? Watch a video or use a hint.

Answers

I think is 10 because you can use to or juus sub 10

Pls Help me. I will mark brainlist.

Answers

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

need help!! 40 points !!

The triangles shown below must be congruent.

Answers

Answer:

The question asks if they must be congruent, so the answer is false

Step-by-step explanation:

All the angles are equal

47 = 47

62=62

71=71

The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent.  We need to have one of the sides be equal for the triangles to be congruent.

The question asks if they must be congruent, so the answer is false

Answer:

FALSE

Step-by-step explanation:

ap3x

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *

Answers

Answer:

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Step-by-step explanation:

Given

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]

Going by the Pythagoras theorem, we can assume the following.

a = Oppositeb = Adjacentr = Hypothenuse

So, we have:

[tex]Sin\theta = \frac{a}{r}[/tex]

[tex]Cos\theta = \frac{b}{r}[/tex]

Having said that:

The expression can be further simplified as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]

Substitute values for sin and cos

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes

[tex]cos^2\theta + sin^2\theta = 1[/tex]

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?

Answers

Answer:

No

Step-by-step explanation:

The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error

The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)

This means that between 49.7% to 58.1% of the people would have voted for Mario.

Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario

When you flip a biased coin the probability of getting a tail is 0.46.
Find the probability of getting a head.

Answers

Answer:

54%

Step-by-step explanation:

Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.

What are mutually exclusive events?

Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

P(getting a head) + P(getting a tail) = 1

(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)

P(getting a head) + 0.46 = 1

P(getting a head) = 1 - 0.46 = 0.54

Learn more about mutually exclusive events here

https://brainly.com/question/5492865

#SPJ3

Can someone help please?

Answers

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The answer is 2 hours and 23 minutes

two in 1 more points​

Answers

Answer:

Your photo wont show up

Step-by-step explanation:

Answer:

Hello

1.  B. 2.35 * 10^11

2. A. 3 * 10^-2

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