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
Vilka [71]
3 years ago
13

Can anyone please help me with this? i need a step by step explanation please! very appreciated:)

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
8 0

Answer:

x=8 and y=31

Let's solve your system by substitution.

y=5x−9;y=3x+7

Step: Solve y=5x−9for y:

y=5x−9

Step: Substitute5x−9foryiny=3x+7:

y=3x+7

5x−9=3x+7

5x−9+−3x=3x+7+−3x (Add -3x to both sides)

2x−9=7

2x−9+9=7+9(Add 9 to both sides)

2x=16

2x/2=16/2 (Divide both sides by 2)

x=8

Step: Substitute 8 for x in y=5x−9:

y=5x−9

y=(5)(8)−9

y=31 (Simplify both sides of the equation)

Answer:

x=8 and y=31

NOTE: <u><em>Please give the brainly to the first answer</em></u>

<u><em /></u>

HOPE THIS HELPS <33333

-Silver

EastWind [94]3 years ago
5 0

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

You might be interested in
An empty shipping box has a mass of 2.75kg. An electronics store is packing 5 identical laptop in the shipping box. Each laptop
tatiyna
2.75+5*1.65=11 kg weight of the box with laptops.
p=40+(11-5)*3.15=58.9
The cost to ship the packed box is $58.9
8 0
3 years ago
Which of the following is a correct interpretation of the expression -7- (-11)?
Brilliant_brown [7]

Answer:

B. Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

<u>Given:</u>

  • - 7 - (-11) expression

We can add or remove only positive numbers on the number line to get it  correct, so we need to open the parenthesis. When evaluated we get:

-7- (-11) = - 7 + 11 = 4

<u>Correct interpretation of of this expression is:</u>

  • Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.

<u>Correct choice is:</u>

  • B. Start at -7 on the number line and move 11 to the right.

6 0
3 years ago
A town has a population of 17000 and grows at 3% every year. What will be the population after 7 years, to the nearest whole num
Pepsi [2]

Answer:

122570


(17000*1.03)7


4 0
3 years ago
Read 2 more answers
Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type
Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

\frac{y}{t} = e^{-kt + C}  \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt}   (A = e^{C})\\y = Ate^{-kt}

when t = 1 hour, y = 15 grams. So,

y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}(1)

when t = 3 hours, y = 30 grams. So,

y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k} (2)

dividing (2) by (1), we have

\frac{30}{15}  = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36

Substituting A and k into y, we have

y = 18.36te^{-0.203t}

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0
3 years ago
What is the answer for 3r+8=2r+12
Marina86 [1]

Answer:

r=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Given A = {(1, 3)(-1, 5}(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following
    11·2 answers
  • The base of an exponential function can only be a positive number.<br> O A. True<br> B. False
    6·2 answers
  • If the Measure of ∠O equals 73°, then what is the measure of ∠N
    11·2 answers
  • When would you use the Pythagorean theorem
    9·2 answers
  • A box contains 10 ​transistors, 3 of which are defective. If 3 are selected at​ random, find the probability that a. All are def
    8·2 answers
  • Which of the following is equal to the rational expression when x does not equal -2 or -6?
    9·1 answer
  • Can Y’all help me with dis ASAP
    9·1 answer
  • I don't understand this. ​
    14·2 answers
  • Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
    6·1 answer
  • Y = -3x + 3<br><br>HELP I WILL GIVE BRAINLIEST TO BEST ANSWER 40 POINTS
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!