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Tema [17]
3 years ago
10

How do I use substitution to solve a system of linear equations?

Mathematics
1 answer:
ELEN [110]3 years ago
7 0

Answer:

for example:

y=2x+4

 3x+y=9

We can substitute y in the second equation with the first equation since y = 2x+4.

  3x+(2x+4)=9

5x+4=9

5x=5

x=1

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Answer both please, the topic is linear inequalities, and please explain it to me.
Bogdan [553]
<u>Question 1 solution:</u>
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:

Part 1)  W→ , R←(against current, upstream) 
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:  

</span>R–W=2  - equation 1

Part 2)  W→ , R<span>→</span>(with current)
Therefore, R+W=3  - equation 2

From equation 1, W=R-2, 
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1...               R=2+W
2...  (2+W)+W=3
                 2W=1
                   W=1/2mi/hr
 
7 0
3 years ago
Help ASAP In a system of linear equations the two equations have the same slope. Describe the possible solutions to this equatio
Troyanec [42]

Answer:

If the two linear equations have the same slope, the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions.

6 0
3 years ago
Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?
yuradex [85]

The mother is older than her daughter by \frac{3}{4}m years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

  • Put the age of mother equal 4 times the age of daughter
  • Find the age of daughter
  • Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ \frac{1}{4}m = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - \frac{1}{4}m

- Change 1 m to a fraction of denominator 4, then 1 m = \frac{4}{4}m

∴ The difference between their ages = \frac{4}{4}m - \frac{1}{4}m = \frac{3}{4}m

∴ The mother is older than her daughter by \frac{3}{4}m years

The mother is older than her daughter by \frac{3}{4}m years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0
3 years ago
HELP please I dont understand
Vinvika [58]
Well, what’s your question you need help with?
4 0
3 years ago
Write 3/50 as a decimal and as a percent<br><br> i need help
Alex17521 [72]

Answer:

0.06 and to change that to a percentage all you do is move the decimal point 2 places to the right so the answer would be <u>6</u><u> </u>percent

7 0
3 years ago
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