Solve the systems of equations below using substitution.

Solve The Systems Of Equations Below Using Substitution.

Answers

Answer 1

Answer:

(24, 41 )

Step-by-step explanation:

y = 3x - 31 → (1)

y = - 2x + 89 → (2)

substitute y = 3x - 31 into (2)

3x - 31 = - 2x + 89 ( add 2x to both sides )

5x - 31 = 89 ( add 31 to both sides )

5x = 120 ( divide both sides by 5 )

x = 24

substitute x = 24 into either of the 2 equations and solve for y

substituting into (1)

y = 3(24) - 31 = 72 - 31 = 41

solution is (24, 41 )

Answer 2

Answer:

(24,41)

Step-by-step explanation:

Set the 2 equations equal to each other.

3x - 31 = -2x + 89  Add 2x to both sides of the equal sign

3x + 2x -31 = -2x + 2x + 89

5x -31 = 89  Add 31 to both sides of the equal sign

5x -31 + 31 = 89 + 31

5x = 120  Divide both sides by 5

[tex]\frac{5x}{5}[/tex] = [tex]\frac{120}{5}[/tex]

x = 24  This is your x value.

Substitute 24 for x into either of the two original equations to solve for y.

y = 3x -31

y = 3(24) - 31

y = 72 - 31

y = 41  This is your y value.

Check:

y = 3x -31

41 = 3(24) - 31

41 = 72 -31

41 = 41 Checks

y = -2x + 89

41 = -2(24) + 89

41 = -48 + 89

41 = 41 Checks.


Related Questions

please help meee
a. square root of 4 and 3
b. square root of 2
c. 4
d. square root of 8 and 3​

Answers

Answer:

a) 4sqrt3

Step-by-step explanation:

8/2=4

4*sqrt3=4sqrt3

look up 30 60 90 triangle

The guy under me is correct, i just solved it.

Will give brainlyest to the first correct answer! Easy points

Answers

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

I did this problem almost 2 years ago and I’m pretty sure it’s A

Multiply. Write your answer as a fraction in simplest form.

−1(45)=

NO LINKS PLEASE !!!!!!!!!!!!!!!!!!
if you do i will report your answer

Answers

Answer:

no worries :)

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

sorry guys i really hate geometry

Answers

Answer:

54.3

Step-by-step explanation:

4/3 x pi x 2.35^3

Add fractions with unlike denominators

Answers

Answer:

1 5/12  i think im sorry if i get it wrong.

Step-by-step explanation:

Answer me this please!

Knowing the absolute value of the numbers will help you determine which is closest to ________

Answers

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

will mark brainlliest

Answers

Answer:

1

Step-by-step explanation:

Answer:

b is the cprrect answer

Step-by-step explanation:

please mark this answer as brainliest

Q. Identify the slope-intercept equation

Answers

Y=2x+4
Please give me Brainliest

i literally don't understand this at all.

Answers

Answer:

its just exaplining how does this exrcise work example 1^1 would be 1x1/

1^3          1x1x1x1/      3^5       3x3x3x3x3/     3x3=9 9x3 =27 27x3 =81    81x3=243

Step-by-step explanation:

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

1. w+24=42

2. 18

Answer:

not 100% but choose w+24=42 and 18 pounds for the box

Step-by-step explanation:

if its 42 pound i total and they told yoy the amount they have for the honeycrisp subtract 42 -24 = 18. 18 is the amount of golden appels

100 1/4 in simplest radical form.​

Answers

Answer:

[tex]\sqrt[4]{100}[/tex]

Step-by-step explanation: Hope this helped

Can someone help me with this. Will mark brainliest.

Answers

diagonals of a parallelogram bisects each other making an angle of 90°.

so, your answer is True

Answer:

A. True

Step-by-step explanation:

The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.

Please find where the minimum value occurs. And find the minimum value.

Answers

Answer:

The minimum value would be -4.

The next model of a sports car will cost 5.6% less than the current model. The current model costs $52,000. How much will the price decrease in dollars? What
will be the price of the next model?

Answers

Answer:

49,088

Step-by-step explanation:

First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.

Second, you need to subtract 2,912 from 52,000 which is 49,088

Help me please. I don't understand this.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

(GIVING BRAINLIEST) The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?

Answers

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation:

Boy Scout camp and walk 6 km due east he then turns and walks 9 km due south what is his distance away from the camp at this point

Answers

You are going to use the Pythagorean there on as the two directions make a 90 degree angle.
A^2+B^2=C^2
6^2+9^2=C^2
36+81=C^2
117=C^2
Square root both sides
C=10.82km

There were 680 gallons of water ALREADY in a 1600-gallon pool. Water is being pumped into the pool at the rate of 320 gallons per hour. Let x represents the number of hours. Find how many hours it will take to fill the pool.

Answers

Answer:

2 7/8 hours

Step-by-step explanation:

Answer:

2hrs 12 mins

Step-by-step explanation:

5hrs = 5x = 1600  question asks us to find 680

2 1/2x + 680-640 =-x + 2.8hrs

2x + 40 = x + 2.8hrs

2x + 40 = 680

Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60

0.8  *  60 = 48 minutes

Then go back to  x  + 2.8hrs = x + 2hrs 48mins

2x + 48 = 60

2x + 48 = 60

2x+ 60 - 48  

x = 2:12 hours

Find a and b if
2^a×3^b=12​

Answers

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

 

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

Simultaneous Equations - 5p-2q=9 3p+2q=7

Answers

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

What is the length of a in this triangle?

Answers

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?

A $28.80
B $2,880.00
C $508.80
D $768.00

Answers

Answer:

c

Step-by-step explanation:

Find the area of the circle

Answers

Answer:

Q.3 area of circle=pi×r²

area of circle=3.14×(9mm)²

area of circle =254.34mm²

Q.6 area of circle= 3.14×(1.5in)²

area of circle =7.065in²

Answer:

wait what was the question gsdnABNEfglaabgjggse?????

Step-by-step explanation:

Use the information in the picture.
Is it a parallelogram? YES
NO
If yes, give the theorem:

Answers

Yes, parallelogram congruent angles theorem

At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?

Answers

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

SOMEONE PLS HELP ASAP I RLLY NEED HELP PLS DONT BE A BOT PLS AND TY

Answers

Answer:

x = 4

Step-by-step explanation:

Given a tangent and a secant from an external point, then

square of the hypotenuse is equal to the product of the external part and the entire secant, that is

DB × CB = AB² , that is

9x = 36 ( divide both sides by 9 )

x = 4

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B

Answers

Answer:

8 is the length

Step-by-step explanation:

The length of AD is 9 units from the given right triangle ABC.

What is a right triangle?

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

Given right triangle ABC with altitude BD drawn to hypotenuse AC.

Given that, AB = 18 and AC = 36

Using Pythagoras theorem

AC²=AB²+BC²

⇒ 36²=18²+BC²

⇒ BC²=1296-324

⇒ BC²=972

⇒ BC=31.18 units

We know that, area of a triangle =1/2 × Base × Height

= 1/2 × 31.18 × 18

= 280.62 square units

Now, area of a triangle ABC with base AC and height BD

That is, Area = 1/2 ×36×BD

⇒ 18BD=280.62

⇒ BD=280.62/18

⇒ BD=15.6

Consider ΔBDA

AB²=AD²+BD² (Pythagoras theorem)

18²=x²+15.6²

⇒ x²=18²-15.6²

⇒ x=9 units

Therefore, the length of AD is 9 units from the given right triangle ABC.

To learn more about the right angle visit:

https://brainly.com/question/3770177.

#SPJ2

the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop

Answers

Answer:

11

Step-by-step explanation:

2-8 you need to minus the first number

convert 0.00001 to a power of 10

Answers

Answer:

1 × 10⁻⁵

Step-by-step explanation:

I need this done by tomorrow 4.

Answers

Is it too late now?? Btw it is C
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