Solve these systems of equations Using the elimination method.a). 3x + y = 13 b) 6x - y = 14
x - 5y = 15 2x + y = 12

c) 3x - 4y = 22
2x + 5y = 7

Answers

Answer 1

Answer: a. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 →   x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)

b. 6x - y = 14
  2x + y = 12
  8x = 26
8 8
  x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂   - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
  (x, y) = (3¹/₄, 5¹/₂)

c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y =   7 → 8x + 20y =   28
  23x = 138
23   23
x = 6
3x - 4y = 22
  3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)

Answer 2

Answer: a). 3x + y = 13
x - 5y = 15
multiplier equation 1 by 5
15x+5y=65
DSA
15x+5y=65
x - 5y = 15
remaining
16x=80
x=5
5-5y=15
-5y=15-5
-5y=10
y=10 ÷ -5
y=-2
x,y
5,-2

Related Questions

The cube of a positive number divided by the square of the same positive number is a. 2 b. 4 c. 6 or d. 8
Find the slope of 2x-9y=-36? please show steps thank you
Determine whether the triangle is acute, right, or obtuse given the sides: 11, 14, 20
The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle
1:30 to 4:30 is how many hours

According to the table listing average daily expenses for a tourist by country based on high and medium categories, Brazil has a range from $12.25 to $18.33, and Greece has a range from $9.48 to $16.55. Which of the two countries has the larger difference between categories?a.Greece

b.Brazil

Answers

Answer:

Option a. Greece.

Step-by-step explanation:

According to the table listing average daily expenses for a tourist by country based on high and medium categories,

Brazil has a range from = $12.25 to $18.33

Greece has a range from = $9.48 to $16.55

To find out the difference in range, first we get range of both the countries.

by subtracting lowest from highest

Brazil = $18.33 - $12.25 = 6.08

Greece = $16.55 - $9.48 = 7.07

= 7.07 > 6.08

Therefore, Greece has the larger difference between categories.

Option a. Greece is the correct answer.

that should be answer no.a

18.33-12.25=6.08
16.55-9.48=7.07
7.07 > 6.08
so the answer should be no.a

Whatisthevalueof5.8dividedby1.2

Answers

5.8 / 1.2 = 4.83 I hope this is helpful!

You have a long-distance calling card with a remaining balance of $12.00. It costs $4.25 for the first 5 minutes and then an additional $0.40 for each additional minute. How many minutes do you have remaining on the card? Round your answer to the nearest whole number. A. 10 B. 16 C. 22 D. 17 E. 24

Answers

Final answer:

After subtracting the initial 5-minute cost from the total balance and dividing by the cost of additional minutes, you would have about 24 minutes remaining on your long-distance calling card when rounding to the nearest whole number.

Explanation:

To solve how many minutes you have remaining on your long-distance calling card, you'll first need to subtract the cost of the first 5-minute period from your total balance, which gives you $12.00 - $4.25 = $7.75.

Next, you would divide this amount by the cost of each additional minute which is $0.40. This calculation ( $7.75 / $0.40 ) results in a total of approximately 19.375 minutes.

Therefore, since you already have 5 minutes from the initial payment, you would add these two values together (5 + 19 = 24 minutes). But, according to the task you need to round your answer to the nearest whole number. As such, you can say you have approximately 24 minutes left on your card.

Learn more about long-distance calling card here:

brainly.com/question/31316357

#SPJ11

Final answer:

To determine the number of minutes remaining on the calling card, subtract the cost of the first 5 minutes from the remaining balance and divide by the additional cost per minute. You have approximately 19 minutes remaining on the calling card.

Explanation:

To determine the number of minutes remaining on the calling card, we need to subtract the cost of the first 5 minutes from the remaining balance and then divide the result by the additional cost per minute.

Subtract the cost of the first 5 minutes ($4.25) from the remaining balance ($12.00): $12.00 - $4.25 = $7.75.
Divide the result by the additional cost per minute ($0.40): $7.75 ÷ $0.40 ≈ 19.38 minutes.
Round the result to the nearest whole number: 19.38 ≈ 19 minutes.

Therefore, you have approximately 19 minutes remaining on the calling card.

Learn more about Calculating remaining minutes here:

brainly.com/question/33374760

#SPJ11

Mary has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard? I

Answers

Answer:

$(3)/(6)+(1)/(3)$

Step-by-step explanation:

To answer this question, we have to sum each pair of cable and see which one results in 20/24.

$(3)/(6)+(1)/(4)=(12+6)/(24)=(18)/(24)=(3)/(4)$

$(3)/(6)+(1)/(3)=(9+6)/(18)=(15)/(18)=(5)/(6)$

$(1)/(4)+(1)/(3)=(3+4)/(12)=(7)/(12)$

Now, if we simply 20/24, we have:

$(20)/(24)=(10)/(12)=(5)/(6)$

As you can see, the answer is the second sum above, because they have the same basic fraction.

Therefore, the answer is

$(3)/(6)+(1)/(3)$

Answer:

3/6 + 1/3

Step-by-step explanation:

20/24 can be devided top and bottom by 4 which would equal 5/6, if you add 3/6 + 1/3 also equals 5/6.

Sam and Jeremy have ages that are consecutive odd integers.The product of their ages is 783. Which equation could be used to
find Jeremy’s age, j, if he is the younger man?
(1) j^2 + 2 = 783 (3) j^2 + 2j = 783
(2) j^2 - 2 = 783 (4) j^2 - 2j = 783

Answers

j, j+2 - consecutive odd integers
j - Jeremy's age
j+2 - Sam's age
The product of their ages is 783.

$j(j+2)=783 \nj^2+2j=783$

The answer is (3).

consecutive odd integers are 2 awya from each other
1,3,5,7,9...
since jeremy iis younger, he is 2 less than sam
j
s=j+2

sj=783
in terms of j
(j+2)j=783
distribute
j^2+2j=783

the answe ris the 3rd equation

What's the sum of 6 feet 10 inches and 8 feet 9 inches?

Answers

15 feet and 7 inches

reeber 12 inches=1 foot
first add up the feet
6+8=14 feet

add the inches
10+9=19
19in=12in+7in=1ft+7in

add 1 to feet
14+1=15

answer is 15 feet and 7 inches

Other Questions

Mrs. Chen owns two pieces of property. The areas of the properties are 77,120 square feet and 33,500 square feet. 43,560= 1 acre Find the total number of acres Mrs. Chen owns, to the nearest hundredth of an acre and please explain how to do it.

Use a calculator to find each answer. Round to the nearest tenth.1.) 8392-(530+239)2.) (984.2 - 845) ÷53.) (1000÷14.6) +8.44.) (8392-530) + 539

Distributive Prosperity Simplify ; 16 (7b+6)

The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)A.The measure of their corresponding angles is equal. B.The ratio of their corresponding angles is 1:2. C.The ratio of their corresponding sides is 1:2 D.The size of the quadrilaterals is different but shape is same.