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
disa [49]
4 years ago
11

Subtitute 2x+y=7 and 3x-y=8

Mathematics
1 answer:
iogann1982 [59]4 years ago
8 0

Answer:

x = 3 , y = 1

Step-by-step explanation:

2x + y = 7

3x + y = 8

solution

2x + y = 7-----------(1)

3x - y = 8------------(2)

from equation 1

2x + y = 7

y = 7 - 2x-------------(3)

substitute equation 3 into equation 2

3x - y = 8

3x - (7 - 2x) = 8

3x - 7 + 2x = 8

3x + 2x = 8 + 7

5x = 15

divide through by the coefficient of x

5x/5 = 15/5

x = 3

to find y

substitute x into equation 1

2x + y = 7

2(3) + y = 7

6 + y = 7

y = 7 - 6

y = 1

You might be interested in
A publishing company produces 15 books in 3 hours. How long would it take to produce 20 books at the same rate?
aliya0001 [1]

Answer:

4 hours

Step-by-step explanation:

Since the company was able to produce 15 book in 3 hours, that mean they produce 5 book every hour. So adding 5 more books to 15 to get 20 means that you add one more hour. So it would be 4 hours! hope this helps!:)

6 0
4 years ago
Read 2 more answers
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid
Tom [10]

Given:

Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.

Lid on Scott's container can hold 3 fluid ounces of detergent.

Lid on Nikki's container can hold 4 fluid ounces of detergent.

To find:

The number of lids full of detergent Scott have more than Nikki.

Solution:

We know that,

1 gallon = 128 fluid ounces

1.5 gallon = 192 fluid ounces

Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is

\dfrac{192}{3}=64

Lid on Nikki's container can hold 4 fluid ounces of detergent.  So, number of lids full of detergent Nikki have is

\dfrac{192}{4}=48

Difference between number of lids is

64-48=16

Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.

5 0
4 years ago
Read 2 more answers
There are red, blue, and black marbles in a bag. •The probability of pulling out a red marble is 2/5. •The probability of pullin
nika2105 [10]
The probability is 1/2
8 0
3 years ago
Read 2 more answers
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 in
True [87]

Answer:

290in

Step-by-step explanation:

3 0
3 years ago
Jenna ordered 28 shirts for her soccer team 75% of those shirts size large how many large shirts did you know order
Ymorist [56]
28 x 75% = 21
Jenna ordered 21 large shirts.
8 0
3 years ago
Other questions:
  • A simple random sample of 85 analog circuits is obtained at random from an ongoing production process in which 21% of all circui
    9·1 answer
  • Is the answer A, B, C, or D? Please show work
    12·1 answer
  • Which of the following phrases translates to x - 9?
    10·1 answer
  • If f(x) = 7(x - 1) + 8, find the value of f(1)<br> answer fast.
    9·2 answers
  • A bookcase measures 13 ft wide and 24 ft tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm
    9·2 answers
  • 1. Estimate the y intercept for the line of best fit for the data
    15·1 answer
  • 12(5x + 10x²) = 256 + 60x<br> How do I solve this equation
    13·2 answers
  • Which of the following equations represents direct variation?
    6·1 answer
  • 35 teenagers were asked what takeaways they liked to eat.
    7·1 answer
  • Using compatible numbers, which of the following is the best estimate for
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!