1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WARRIOR [948]
3 years ago
7

X-2y=8 4x+y=5 Solve linear systems by Multiplying

Mathematics
1 answer:
Lisa [10]3 years ago
4 0
<h2> x = 2 and y = - 3</h2>

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8                        ........ (1)

and 4x + y = 5               ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2  

⇒ 8x + 2y = 10                ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8  + 10  

⇒ x - 2y + 8x + 2y = 8  + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8        

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴  x = 2 and y = - 3

You might be interested in
304967000 in word form
Andru [333]
It makes it easier to input commas first:

304,967,000

1 million has 6 zeros, for reference.

304 million 967 thousand would be how I would read it. (Or: three hundred four million nine hundred sixty seven thousand.)
4 0
3 years ago
Read 2 more answers
What is the missing divisor?<br><br> 34,000 ? = 340
Kipish [7]

Answer:

34,000 ÷ 1000 =340

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
43.
aleksklad [387]

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

4 0
3 years ago
How do cows count<br> [riddle]
crimeas [40]

Answer:

Step-by-step explanation:

I think the answer is utterly perfect

Lol or its a 'cow'nter

8 0
2 years ago
Read 2 more answers
An 16 16​-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to​ volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to​ weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0
3 years ago
Other questions:
  • An angle measures 106° more than the measure of its supplementary angle. What is the measure of each angle?
    13·1 answer
  • Comment denominator of 19/54
    15·1 answer
  • Year Population (in millions)
    5·2 answers
  • Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 71 hours over the
    11·1 answer
  • A cat and dog shelter houses 23 animals that are 5 more cats than dogs y. Write and solve a system of linear equations to find t
    13·1 answer
  • A jacket is on sale for 40% off. The sale price is $90.00. What is the original amount of the jacket?
    12·2 answers
  • Evaluate the expression when x = 12/7
    13·1 answer
  • What is 5x-2y=4 6x+3y=-6
    5·1 answer
  • What is the value of the expression 5 to the power of 2 + 2 to the power of 2?
    11·2 answers
  • A number m is formed by writing all the prime numbers between 0 and 10 in ascending order. another number n is formed by writing
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!