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
Margarita [4]
3 years ago
10

What is the answer to this math problem

Mathematics
1 answer:
shutvik [7]3 years ago
4 0
Y + x = 5x + 3
12 - y = x + 2y

Isolate x in the first equation, then substitute its expression into the second equation to find y:

y + x = 5x + 3
x = 5x - y + 3
-4x = -y + 3
x = y - 3/4

---

12 - y = x + 2y
12 - y = (y - 3/4) + 2y
48 - 4y = y - 3 + 8y
48 - 4y = 9y - 3
-4y = 9y -51
-13y = -51
y = 51/13

Substitute this into the first equation to find x:

51/13 + x = 5x + 3
x - 5x = 3 - 51/13
-4x = -12/13
x = 3/13

Lastly, substitute back into both original equations to check work;

y + x = 5x + 3   -->   51/13 + 3/13 = 5(3/13) + 3  -->  54/13 = 54/13
12 - y = x + 2y   -->   12 - 51/13 = 3/13 + 2(51/13)  -->  105/13 = 105/13

Answer:
x = 3/13
y = 51/13

Hope this helps.
You might be interested in
PLS HELPPP TIME LIMIT!!!!
Sunny_sXe [5.5K]

Answer:

66

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify -2x^3yxxy^2
Readme [11.4K]

Answer:

-2x^(5)y^(3)

Step-by-step explanation:

5 0
3 years ago
Find the prime factorization of 210.
Xelga [282]
5 x 2 x 7 x 3
Hope it helped! :)
8 0
3 years ago
Read 2 more answers
Which expression represents the length, in inches,<br> of the framed picture?
Len [333]

Answer:

No solution is posible from the information provided

Step-by-step explanation:

6 0
3 years ago
Can you write a real world problem that uses Pythagorean theorem ?
elena-14-01-66 [18.8K]

1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)<span>2 </span>+ (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.

3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

6 0
3 years ago
Other questions:
  • The temperature at 1 pm was 88 degrees. By 4 pm, the temperature was 72 degrees. Determine the constant rate of change of the te
    7·1 answer
  • X = 2, w = -1, y = 6, z = 4 x²+4w - 2y​
    9·2 answers
  • if the point (-5,-12) is reflected across the xaxis and then across y-axis then what are the coordinates of the resulting point?
    11·1 answer
  • If you were to solve the following system by substitution what would be the best variable to solve
    5·1 answer
  • Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems
    8·1 answer
  • A recent nationwide study investigated the value of the prostate-specific antigen (PSA) blood test for the detection of prostate
    9·1 answer
  • Solve x2 − 8x + 5 = 0 using the completing-the-square method.
    6·2 answers
  • Put the fraction from least to greatest. 2/5, 1/2, 7/10, 10/7, 3/1.
    10·1 answer
  • Need help ASAP please
    10·1 answer
  • Anya is saving her allowance to purchase a bike. Anya started her savings with $10 and is saving $5 per week. Let y represent th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!