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
Masja [62]
3 years ago
15

Can somebody please help me with this problem please

Mathematics
2 answers:
Furkat [3]3 years ago
6 0

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

Vinvika [58]3 years ago
4 0

Answer:

(3, 4)

Step-by-step explanation:

Please include the instructions.  I'm assuming that you want to solve this system of linear equations.

If that's the case, let's use elimination by addition and subtraction.

Multiply the first equation, -5m + 9n = 21, by 2:  -10m + 18n = 42, and

multiply the second equation, 2m + 2n = 14, by 5:  10m + 10n = 70

Next, combine these two "new" equations:

-10m + 18n = 42

10m + 10n = 70

------------------------

          28n = 112.  Dividing both sides by 28, we get  n = 4.

Subbing 4 for n in the second equation, we get 2m + 2(4) = 14, or

2m = 6.  Then m = 3, and the solution is thus

(3, 4).

You might be interested in
Help please!<br><br> How do I graph f(x)=3/4x+2? What points do I plot?
mariarad [96]

(0, 2 ), (4,5)

to draw a graph of a straight line , we only require 2 points

select any 2 values for x, substitute them into the equation for the corresponding y- coordinates

x = 0 → y = 0+2 = 2 ⇒ (0, 2)

x = 4 → y = 3+2 = 5 ⇒ (4, 5)

Plot these 2 points and draw a straight line through them for graph


8 0
3 years ago
Read 2 more answers
Help please <br> Help please
love history [14]

Answer:

1. 1,605

2. -605

3. 21,575

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
2 years ago
4.
-Dominant- [34]

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

7 0
2 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!!
Shtirlitz [24]
The answer would be  C. the third one
7 0
3 years ago
Other questions:
  • Joshua buys five bottles of orange juice she has coupons for $.65 off the regular price of each bottle of juice after using the
    12·2 answers
  • (14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form
    8·1 answer
  • A. Find the slope of the line that passes through the two points: (4, 4) and (0, 2).
    13·2 answers
  • In 2012, the population of China was about 1.351 x 10^9 and the population of Japan was about 1.280 x 10^8. Based upon these est
    7·1 answer
  • What equation represents (0,3) (1, 1)
    6·1 answer
  • HELPPP!!!!! Plzzzz!!
    5·1 answer
  • A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?
    5·1 answer
  • 0.05 is 10 times what number
    15·1 answer
  • Nathan boards an elevator in the lobby that is headed up at 160 meters per minute. Meanwhile, 210 meters above, Joey boards an a
    10·1 answer
  • What are all that apply?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!