Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer 1

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

Answer 2

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

What is the slope of the line shown below?
A. -2/3
B.-3/2
C. 3/2
D. 2/3

Answers

Answer:

-2/3

Step-by-step explanation:

Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by 10% of the previous week's distance.

Which function represents the number of miles she ran during the nth week?​

Answers

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

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units right and 2,3,4 or 5

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.

Answers

Answer:

-4 an -3 11 4 9

Step-by-step explanation:

Answer:

1) reflection across the x-axis

2) 7 units right

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Step-by-step explanation:

X^2+(2)b+(-35) then the factored form is?

Answers

Answer:

2b+2x-35

Step-by-step explanation:

let me know if wrong

ILL GIVE BRAINLY THIS IS THE WHILE QUESTION I FORGOT TO ADD THIS

Answers

B. Situation A
C. Situation B

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Second Explanation: Situation B has numbers on the 70.

Find 2 points that are 3 units from Point C and also share the same y-coordinate as Point C.

P.S its NOT -3,-5 -9,-5

Answers

Answer:

I'm guessing point C is (-6,-5)? But then, it would have to be the coordinates you listed, (-3,-5) and (-9,-5) because nothing else makes sense.

Or is it one of those questions that you give your own coordinates? I'm confused :'(

The water level in a bathtub is directly proportional to the time that the water has been running. If the water level is 4 inches after 5 minutes, what is the water level after 9 minutes? O A. 10 inches O B. 7.2 inches O C. 8 inches OD. 11.25 inches​

Answers

Answer:

i think its 8

Step-by-step explanation:

becuse 4/5 its equal to 8/9 so thats why.

denada✌

Please help i'll give brainliest

Answers

Answer:

[tex]option \: 1. \: is \: correct.[/tex]

Step-by-step explanation:

[tex]9 {}^{ \frac{1}{3} } = \sqrt[3]{9 {}^{1} } \\ but \: for \: 9 {}^{ \frac{1}{3} } \: to \: equal \: 9 \: \\ then \: it \: should \: be : {(9 {}^{ \frac{1}{3} } )}^{3} \\ therefore \: the \: option \: 1. \: is \: correct.[/tex]

in 14 days there are 2,252 cans in 10 days there are 1,630 days how many cans are in 4 days

Answers

Answer:

1630 days is that one of your answers?

Hope this helps

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.

Answers

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

A barge is carrying 342,000 pounds of concrete blocks. How much weight is this in tons?

Answers

171 ask google if u think im wrong

171 tons.

Find the slope of the line.

Answers

[tex]The\;slope\;is\;-3.\\\\The\;slope\;is\;the\;x\;which\;is\;the\;line\;that\;goess\;horizontal.\;Therefore,\\\;the\;point\;is\;on\;the\;negative\;side\\\;and\;it\;is\;3\;boxes\;to\;the\;left\;so\;that\;means\;the\;slope\;is\;-3.[/tex]

4 (x +3 ) = 24 need help!!!!

Answers

X=3
Because 4*3=12 and 12*2 = 24

Answer:

X=0

Step-by-step explanation:

X=0 because 4(x+3) 4×3 is already 24

Identify the property.
18 + 11 = 11 + 18

Answers

Answer:

commutative i believe

Step-by-step explanation:

.........................

Answer:

Commutative Property  

Step-by-step explanation:

The commutative property: Changing place of a certain number does not affect the sum (answer)

In this problem the property is Commutative property

HELP! DUE TODAY! WILL GIVE BRAINLIEST!!

Question:

Select from the drop-down menus to correctly complete each statement

17.2 is 17.2 units to the ( drop-down 1 ) of zero on a number line. The opposite of 17.2 is 17.2 units to the ( drop-down 2 ) of zero on a number line.

Answers

Answer:

#1 would be Right and #2 would be left

Step-by-step explanation:

Pls Mark Brainliest

Find the length of the missing side. The triangle is not drawn to scale

Answers

Please add triangle image.

Answer:

i cant answer without a picture or something to see what the missing sides are..

comment the graph and i will answer the question

Step-by-step explanation:

amare runs 1/10 mile in 2/3 min what is his speed in miles per min

Answers

Answer: it takes amare 6 2/3 minutes

Step-by-step explanation:

1/10 take the denominater / 10

multiply 10 times 2/3 = 20/3

20/3 = 6 2/3

= it takes amare 6 2/3 minutes to run a mile

Answer:

Step-by-step explanation:

it will be 3/20

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?


miles, and on the second day she ran

miles.

Answers

Answer:6 miles

Step-by-step explanation:

Answer:

First Day: 8

Second Day: 12

OF COURSE CORRECT.

For Cooper's lemonade recipe, 6 lemons are required to make 3 cups of lemonade. At
what rate are lemons being used in lemons per cup of lemonade?

Answers

Answer:

2 lemons per cup

Step-by-step explanation

If you have 6 lemons and you can make 3 cups you will need to divide

6/3 which is 2

so your answer is 2 lemons per cup

is Gobbledygook a word

Answers

Answer:

Lol that is a word.

Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?
l(x - [

Answers

Answer:

y-30=2(x-2)

Step-by-step explanation:

m=y2-y1/x2-x1

-28-2=(-30)

15-30=(-15)

-30/(-15)=2

m=2

hope this helps =3

sorry if im wrong

Find the next three numbers in the pattern.
7, 11, 15, 19, 23,27

Answers

Answer: 31, 35, 39

Step-by-step explanation:

Answer:

Just add 4 to each number and do it how ever long it says

Step-by-step explanation:

A pizza restaurant charges $10.00 for 1 pizza, $20.00 for 2 pizzas, and $28.00 for 3 pizzas. Based on this information, how much will the restaurant charge for 4 pizzas?

Answers

Answer: $36.00

For every extra pizza, it will cost eight dollars more. So, the fourth pizza will cost $36.00.

Plz mark brainliest:)

Can anyone help me answer this? It due in a few minutes

Answers

Answer:

A

D

Step-by-step explanation:

Answer:

●A. (4x + 16)° = 180°

○B. x° = 49°

○C. m<A = 99°

● D. From smallest to largest: <B, <C, <A

The answers are both A and D.

Chaney is spending the day by selling candy bars for $5 a piece . He spent $13 on supplies. He ended the day with $32, how many candy bars did he sell?​

Answers

The answer is 9 Candy Bars

One-fourth of a number is 22. Find the number

Answers

Answer:

5.5

I hope this helps!

Mark brainliest!

please need help by october 31, 2020 help!!!!!!

Answers

Answer:

1.)c=±√58

Step-by-step explanation:

According to Pythagorean theorem, square of the hypotenuse is equal to the sum of the squares of other two sides

a^2+b^2=c^2

Short sides-a and b

Long side=c

I will do number 1 for you as an example.

A=3

B=7

C=x

3^2+7^2=c^2

58=c^2

Dont forget to square 58

c=±√58

if my dog eats about three fifths of a pound of dog food per day how long will a five pound bag of dog food last?

Answers

Answer:

8 and 1/3 day

Step-by-step explanation:

Just divide 5 by 3/5

Keep change flip.

5 x 5/3

25/3

It will last 25/3 days, or 8 and 1/3 days, or 8 days and 8 hours.

Hope this helps

a correction of "six less than twice the value of x" is

Answers

Answer:

2x-6

I don't know what you mean by correction, but that's in expression form.

Answer:

2x-6

Hope this helps!!

there you go now may I ask you when you are curious about a certain happening like what breakfast that's give you more energy or what is the fastest route from your house to school what will you do?​

Answers

Answer:

Idk. I will probably find a faster route to school and research abt which foods give u more energy...... IDK

Step-by-step explanation:

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