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
Scrat [10]
2 years ago
9

If 2a + b = 13 and 3c-6a = 5, what is the value of b + c?

Mathematics
2 answers:
ElenaW [278]2 years ago
7 0

Step-by-step explanation:

Solve the first eqn for b, b=13–2*a, and the 2nd for c, c=(6*a+5)/3. Then

b+c=13–2*a+(6*a+5)/3=13–2*a+2*a+5/3=44/3. We see that b+c has a definite value because the terms in a cancel.

FinnZ [79.3K]2 years ago
4 0

Answer:

44/3 (a fraction)

Step-by-step explanation:

If 2a + b = 13. Equation 1 and

3c – 6a = 5. Equation 2.

From Equation 1.

2a + b = 13 so

2a = 13 - b so

a = (1/2)(13 - b). Equation 3.

Substitute a from Equation 3 into Equation 2:

From Equation 2:

3c - 6a = 5 or

3c - 6[ (1/2)(13 - b) ] = 5 or

3[ c - 2(1/2)( 13 - b ) = 5 so

3[ c - ( 13 - b ) ] = 5

Expanding:

c + b - 13 = ( 5/3)

Therefore...

b + c = ( 5/3 ) + 13 or

b + c = [ (13)(3) + 5 ]/( 3 ) so

b + c = ( 44 )/( 3 ) = ( 44/3 )

You might be interested in
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x − 2) true?
NISA [10]

Answer:

I think there is a mistake somwhere . Please can someone else try it out

8 0
3 years ago
ASAP!!!!!!!!!!!!!!!!!!!
timama [110]

Answer:

Step-by-step explanation:

BC = 60

CA = 45

AB = sqrt(45^2 + 60^2)

AB = sqrt(2025 + 3600)

AB = sqrt(5625)

AB = 75

7 0
3 years ago
Will 4 5/10 x 6/17 be larger, smaller, the same or impossible to tell than 4 5/10?
Delicious77 [7]
4¹/₂ × ⁶/₁₇
⁹/₂ × ⁶/₁₇
²⁷/₁₇
1¹⁰/₁₇

The product of 4¹/₂ and ⁶/₁₇ will be smaller than 4¹/₂.
3 0
3 years ago
Hotdogs are sold in packages The graph below shows the total number of hotdogs sold relative to the number of packages what does
soldier1979 [14.2K]

Answer:

do you still need help

Step-by-step explanation:

to this question

5 0
2 years ago
Here are the first five terms of a sequence.
Snezhnost [94]

Step-by-step explanation:

3 to 8= 5

8 to 17= 9

17 to 30= 13

30 to 47= 17

47 to 68= 21

68 to 93= 25

93 to 122= 29

122 to 155= 33

155 to 192= 37

difference is 4

solve by

2 {n}^{2}  - n + 2 \\ 2 {(9)}^{2}  - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155

5 0
2 years ago
Other questions:
  • HELP ME WITH MY LAST QUESTION PLEASE I FORGOT HOW TO FIND INTERVALS
    12·2 answers
  • you can buy 3 apples at the quick market for $1.14. you can buy 5 of the same apples at stop and save for $1.10. which place is
    15·1 answer
  • Name two 2 digit factors whose product is greater than 200 but less than 600
    9·2 answers
  • HELP! can someone help me with 2,3,and 4?
    5·2 answers
  • Graph a linear equation find three points that solve the equation 3x+2y=2
    11·1 answer
  • Helpppppppppp please
    9·1 answer
  • Jim's father is older than 40 but younger than 50. If you divide his age by 2, 4, 5, 8, or 10, there will be a remainder of 1, H
    7·1 answer
  • HELP ASAP FOR A QUIZ <br><br> LOOK AT PIC TO SEE QUESTIONS^^^
    6·1 answer
  • A. p = 5t + 4<br> b. a = t2 - 4<br> c. d = t(5 – f)<br> Make t the subject in the formulas
    14·1 answer
  • Help please...... due today
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!