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
Irina-Kira [14]
3 years ago
8

What is the solution set for the following system of equations 5x-3y-10=0 x+y-7=0

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

(x, y) = ( \frac{31}{8}, \frac{25}{8})

given the 2 equations

5x - 3y - 10 = 0 → (1)

x + y - 7 = 0 → (2)

rearrange (2) to obtain y in terms of x

y = 7 - x → (3)

Substitute y = 7 - x into (1)

5x - 3(7 - x) - 10 = 0

5x - 21 + 3x - 10 = 0

8x - 31 = 0 ( add 31 to both sides )

8x = 31 ( divide both sides by 8 )

x = \frac{31}{8}

Substitute this value into (3) for y

y = 7 - x = \frac{56}{8} - \frac{31}{8} = \frac{25}{8}


You might be interested in
Which dimensions can create only one unique triangle?
s2008m [1.1K]

Answer:

<h2>The dimensions must all add up to 180°.</h2>

Step-by-step explanation:

For example;

Your triangles' angles are: 56, 77, and 47.

56 + 77 + 47 = 180

*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself.  If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.

<h3><em>I hope this helped!</em></h3>
3 0
3 years ago
2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II
LiRa [457]

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

8 0
3 years ago
Please help! Correct answer only!
kykrilka [37]
55 - 3 = 52
52 - 3 = 49
49 - 3 = 46
46 - 3 = 43
43 is your answer
7 0
3 years ago
Timed quiz help please! <br> 2 2/5 kilometers in 3 3/4 minuets.
shepuryov [24]

Answer: 16/25 (sorry I'm not really sure bc I'm just  a middle schooler)

Step-by-Step explanation:

2 2/5 km=2.4 kilometers

3 3/4 minutes=3.75 minutes

2.4/3.75=240/375

240/375=48/75=16/25=64/100=0.64

0.64 km/minute (0.64 km per minute)

you can solve the problem using the fractions...

2 2/5=12/5

3 3/4=15/4

(12/5)/(15/4)=(12/5)*(4/15)=48/75=16/25=0.64 again, or you can simplify before multiplying...

(12/5)/(15/4)=(12/5)*(4/15)=(4/5)*(4/5)=16/25...

4 0
3 years ago
Solve this equation with variables on both sides- 3x=5x+18 show all steps
Dima020 [189]
3x=5x+18
3x-3x=5x-3x+18
0=2x+18
0-18=2x+18-18
-18=2x
-18÷2=2x÷2
-9=x
Hope this helps!
Vote me brainliest!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Select the correct answer from each drop-down menu.
    10·1 answer
  • 1. Justin’s car can travel 77.5 miles using 3.1 gallons of gas.
    9·2 answers
  • Three single-serve bags of chips cost 0.99 at this rate how much do 5 bags cost
    12·2 answers
  • I need help with number 2 please.
    13·1 answer
  • Which box plot represents a set of data that has the greatest mean absolute deviation?
    8·1 answer
  • A square deck has a side length of x + 5. You are expanding the deck so that each side is four times as long as the side length
    5·1 answer
  • For which of the following graphs would it NOT make sense to connect
    15·1 answer
  • Is this a polynomial, if so whats the degree
    14·1 answer
  • H(x) = x - 10<br> SA<br> What is the domain of h?
    15·2 answers
  • Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!