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
Lilit [14]
3 years ago
11

4 times one number plus 3 times the other is 78. 3 times the first number minus 8 times the other is -45. What are the numbers?

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer: the first number is 11 38/41

The second number is 10 4/41

Step-by-step explanation:

Let x represent the first number.

Let y represent the second number.

4 times one number plus 3 times the other is 78. It means that

4x + 3y = 78- - - - - - - - - -1

3 times the first number minus 8 times the other is -45. It means that

3x - 8y = - 45- - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 4. It becomes

12x + 9y = 234

12x - 32y = - 180

Subtracting, it becomes

41y = 414

y = 414/41

y = 10 4/41

Substituting y = 414/41 into equation 1, it becomes

4x + 3 × 414/41 = 78

4x + 1242/41 = 78

4x = 78 - 1242/41

4x = 1956/41

x = 1956/41 × 1/4

x = 1956/164

x = 11 38/41

You might be interested in
ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!
motikmotik

Answer:

x = 1 and y = -2

Step-by-step explanation:

Given that,

2x-3y = 8 ..(1)

4x+3y = -2 ..(2)

Add equation (1) and (2),

2x-3y+4x+3y = 8+(-2)

6x = 6

x = 1

Put the value of x in equation (1).

2-3y = 8

2-8 = 3y

-6 = 3y

y = -2

Hence, the value of x is 1 and that of y is -2.

3 0
3 years ago
Help please! thank u
Alexus [3.1K]
A is NOT a function because for some values of x you get more than one y value. For example if x=2 you get 2 values for y.
b is a function because for each x you get ONLY one y
5 0
2 years ago
Express the area of the rectangle in term of x
aalyn [17]

Answer:

Area = 12-\frac{4}{35}x

Step-by-step explanation:

Length of the given rectangle 'l' = (15 - \frac{1}{7}x)

Width of the given rectangle 'w' = \frac{4}{5}

Area of the rectangle = lw

                                    = \frac{4}{5}(15-\frac{1}{7}x)

                                    = \frac{4\times 15}{5}-\frac{4}{5}\times \frac{1}{7}x

                                    = 12-\frac{4}{35}x

Therefore, expression that defines the area of the given rectangle will be,

Area = 12-\frac{4}{35}x

4 0
3 years ago
-1 + 4x=3x +3<br> Solve for x ?
docker41 [41]

Answer:

x = 4

Step-by-step explanation:

1. Regroup terms.

4x  - 1 = 3x + 3

2. Add 1 to both sides.

4x = 3x + 3 + 1

3. Simplify 3x + 3 + 1 to 3x + 4.

4x = 3x + 4

4. Subtrect 3x from both sides.

4x - 3x = 4

5. Simplify 4x - 3x to x.

x = 4

Therefor, the answer is, x = 4.

5 0
3 years ago
Using the graph below, describe the acceleration, position, and force at each of the
STALIN [3.7K]

Answer:

Step-by-step explanation:

<u><em>(1). 2 m / s²</em></u>

<u><em>(2). 0 m / s²</em></u> { Change from the previous section is - 2 m / s² }

<u><em>(3). - 8 m / s²</em></u> { Change from the previous section is - 8 m / s² }

<u><em>(4). - 1 m / s²</em></u> { Change from the previous section is + 7 m / s² }

<u><em>(5). 0 m / s²</em></u> { Change from the previous section is + 1 m / s² }

4 0
2 years ago
Other questions:
  • Ms. Perkins has a bag of candy with 30 pieces. She gave away 1/5 of the pieces to her students. How many pieces does she have le
    8·1 answer
  • Plzz Help!! WIll Upvote!!
    9·1 answer
  • kayla is standing in the gym watching the PE teacher toss volleyballs into the ball bin. She estimates that the PE teacher's han
    5·1 answer
  • What is true about solving inequalities
    5·1 answer
  • HELPS ASAP PLZ
    13·1 answer
  • Find the nth term of the quadratic sequence
    10·2 answers
  • Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first we
    10·1 answer
  • 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period
    11·1 answer
  • Solve the following problem: 20/3 = 2 (w+2/3)
    15·2 answers
  • May you please help me
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!