Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23

Answers

Answer 1

Answer:

x = 5, y = -2

Step-by-step explanation:

2x + 5y = 0 --- Equation 1

Equation 1×3: 6x + 15y = 0 --- Equation 2

3x - 4y = 23 --- Equation 3

Equation 3×2: 6x - 8y = 46 --- Equation 3

We will be eliminating 6x from Equation 2.

Equation 3-2: 6x - 8y - 6x - 15y = 46-0

-23y = 46

y = 46 ÷ -23

y = -2

Substitute y = -2 into Equation 1:

2x + 5y = 0

2x + 5(-2) = 0

2x + (-10) = 0

2x - 10 = 0

2x = 10

x = 10 ÷ 2

x = 5


Related Questions

Zanaveya was testing a toy car on a ramp to see how far it would go. When she put it a third of the way up the ramp, it went 2 feet. When she put it at the top of the ramp, it went 5 times farther. How far did the car go this time?

Answers

Answer:

The car goes 10 ft

Step-by-step explanation:

Given

[tex]Distance = 2ft[/tex]

[tex]New\ Distance = 5\ times\ farther[/tex]

Required

Determine the new distance

x times farther means x multiplied by the initial distance.

So:

5 times farther would be: 5 multiplied by the initial distance.

Hence,

[tex]New\ Distance = 5 * 2ft[/tex]

[tex]New\ Distance =10ft[/tex]

i.e. the car goes 10 ft

A conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing to determine how to arrange the room. The scale indicates that 12 inch in the drawing represents 12 feet in the actual room. The scale drawing that the organizers are using is shown. The dotted line represents a folding wall. What is the actual length of the folding wall?

Answers

Full question:

A conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing for how to arrange the room. The scale indicates that 12 inch on the drawing corresponds to 12 feet in the actual room. In the scale drawing, the length of the room is 313 inches. What is the actual length of the room?

Answer:

313 feet

Step-by-step explanation:

If 12 inches represents 12 feet

Then one inch represents one feet

And so if length of the room in the drawing is 313 inches then the true length of the room = 313 feet

Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?

Answers

Answer:

$ 3.39

Step-by-step explanation:

X = 45 - (13.87*3)

x = 45 - 41.61

x = 3.39

will give brainliest

Answers

Answer:3

I’m sorry if it’s wrong

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

GG

(practice quiz)
Subject: Mathematics ​

Answers

Answer: it is 1cm=2m

i did the math O>O

the answers is 1cm=2m

Write an equation in slope intercept form of the line that passes through the points (12, 15) and (9, 6). Show all work!!

PlSSSS HELPPPPP WORTH 60 POINTSS!

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

y = 3x -21

Slope intercept form: y = mx + b

m (slope) = 3

B = - 21

Stay safe and Merry Christmas! :)

Kiku is planning to visit her nephew in glenville. She knows that the distance from her hometown to glenville is 42 miles

Answers

Answer: 42miles to her nephew

Someone help me please

Answers

Answer:

x = 6.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We have a right triangle triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 64°

Opposite = 13

Adjacent = x

Step 3: Solve for x

Substitute:                                 tan64° = 13/xMultiply x on both sides:          xtan64° = 13Isolate x:                                    x = 13/tan64°Evaluate:                                    x = 6.34052

find the area of a rhombus with a perimeter of 52ft and one diagonal of length 24ft?

Answers

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

Answer:

area of rhombus whit a perimeter of 52 ft and one diagonal of length 24ft

Step-by-step explanation:

4, 12, 36, 108, ...
write an explicit formula for each sequence

Answers

Answer:

Formula is ×3

Step-by-step explanation:

4×3=12

12×3=36

36×3=108

In geometry, what might be the consequences of an unjustified or inaccurate conclusion?

Answers

Answer:

Step-by-step explanation:

In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties. It can cause disastrous outcome in real world. Especially when lives are involved, such as space shuttle projects, or building constructions .

Trudy wants to buy a television for her new apartment. The total cost is $722 including tax. She put $200 down and will make 12 monthly payments for the balance. What is the amount of each payment?

Answers

Answer:

$43.5 dollars every month

Step-by-step explanation:

The cost is $722 with $200 already payed.

The amount for each monthly payment is the rest of the cost divided by the number of months.

522/12 = $43.5

43.5 each month is the answer

Find the slope of the line graphed below
*there are no answer choices please help!

Answers

Answer:

-3/5

Step-by-step explanation:

rise/run

since its a negative slope, you count down three and to the right 5. -3/5 is the slope

Answer:

-3/5

Step-by-step explanation:

Equation for slope of a line is:

(y₂-y₁)÷(x₂-x₁)

In your example:

-4-(-1)÷4-(-1)

(-4+1)÷(4+1)=

-3/5

E (0, 4) and F (4, 3)

Answers

Answer: Good morning, to answer your question

The midpoint  is (2 7/2)

Step-by-step explanation:

Midpoint is calculated using formula x1/2 plus x2/2 plus y1/2 plus y2/2

0 plus 4 over 2 = 4/2

4 plus 3 over 2 is 7/2

Add 7/2 plus 4/2

4/2 plus 7/2 is = 2 7/2

You can turn it into a mixed number if you want! :)

If Elena eats 2 servings of granola , how many calories dose she eat?

Answers

Answer:

700

Step-by-step explanation:

Please give brainliest

Divide 1750 by 5 and get 350.

350 times 2 is 700

y=4x-7 make x the subject of the equation

Answers

Step-by-step explanation:

y=4x-7

y+7=4x

x=y+7

4

hope it helps.

What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.

Answers

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

Step-by-step explanation:

Adjacent angles share a vertex and a ________


Ray

Line

Point

Segment

Answers

I believe the answer is point.

Nicloe bought a meal for $8 that has no sales tax she tips 20% what is the total amount including the tip​

Answers

first you have to find 20% of $8. you have to convert 20% into a decimal and multiply that by 8 which would be 1.6. then, add that to the $8. your answer would be $9.60.

Answer plz I don’t get this

Answers

I think slope is 50

Step-by-step explanation:

(2,100) means in 2 hours she read 100 pages

Jason scored a 80% on his test last week if there were 25 questions how many did Jason get correct

Answers

Answer:

Jason got 20 questions correct.

Step-by-step explanation:

You need to multiply 80% and 25. So, 80% x 25 = 20

An easier way is to convert 80% into 0.80, which is still equivalent and multiply 0.80 by 25.

0.80 x 25 = 20.

Write the equation of the line that passes through the point (-6, 1) and has a slope of 1/2.

Answers

The answer is y=1/2x+4

if an = 2n - 3, then what is the fifth term of the sequence?

Answers

Answer:

7

Step-by-step explanation:

To find the fifth term in the sequence, plug in 5 for n.

a₅=2(5)-3

Then just solve

a₅=10-3

a₅=7

It’s 7 ... hopes this help

HELP 7TH GRADEEEEEEEEEEEEEE

Answers

Answer:

y=8 x=4.5 z= hal of 7.5

Step-by-step explanation:

True or false. A 5% shipping charge will add to the
total cost of an item that is sent to you.

Answers

Answer:

true

Step-by-step explanation:

they will charge you 5% more to your bill for shipping. This will be added on to you total cost.:)

Sarah bought a binder for $7.25 and 6 folders that totaled $9.05. How much did each folder cost?
Step by Step Directions
Please

Answers

Answer: If Sarah's total was $9.05 and the binder costs 7.25 then in order to find the price of the folders you must subtract the cost of the binder (7.25) from the total (9.05) which leaves $1.80 as the amount she paid in total for 6 folders.

Step-by-step explanation:

Solve for n
n - 11 = 3n - 1 - 8

Answers

Answer: N= -1

Explanation:
N-11 =3n - 1-8
First, Add the 1-8 so it’s now n-11 =3n -9
Next, collect like terms so now it’s is -2n=-9+11
Lastly, divide both sides by -2 which will leave you with n=-1

i need help will mark brainliest !ASAP!

Answers

Answer:

Row 2 = One (Smaller unit)

Row 3 = 1,000 (How many times as large as)

Row 4 = Kilogram (Larger unit)

Row 5 = Thousand (Larger Unit)

Row 6 = Micrometer (Larger Unit)

Row 7 = 100,000 (How many times as large as)

A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays? S212.45 $237.15 $312.50 $512.-15​

Answers

Answer:

$512.45

Step-by-step explanation:

Total payment to each client comprises of the base fee and the fee for moving boxes:

199.95 + 25*12.50 = 512.45

Total amount is $512.45

if your are flying in a plane going 500km/h, how far (in km) will you go in 2 hours and 15 minutes

Answers

Answer:

1,125

Step-by-step explanation:

500 x 2 1/4 is 1,125

Answer: 1125 km.

Step-by-step explanation: In 2 hours, you will travel 1,000 km. 15 is 1/4 of 60, so multiply 1/4 and 500 and add that product to 1,000. Therefore, the answer is 1125 km.

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