Homework: 5.1 Systems of Linear Equations
core: 0 of 1 pt
1 of 9 (5 complete)
5.1.19
Solve by the elimination
method.
7x - y = 51
x + 3y = 23
The solution set is
(Simplify your answer. Type an ordered

Homework: 5.1 Systems Of Linear Equationscore: 0 Of 1 Pt1 Of 9 (5 Complete)5.1.19Solve By The Elimination

Answers

Answer 1

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]

Step-by-step explanation:

Given the system of linear equations

[tex]7x-y=51[/tex]

[tex]x+3y=23[/tex]

solving by the elimination method

[tex]\begin{bmatrix}7x-y=51\\ x+3y=23\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x+3y=23\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x+21y=161[/tex]

[tex]\begin{bmatrix}7x-y=51\\ 7x+21y=161\end{bmatrix}[/tex]

[tex]7x+21y=161[/tex]

[tex]-[/tex]

[tex]\underline{7x-y=51}[/tex]

[tex]22y=110[/tex]

so

[tex]\begin{bmatrix}7x-y=51\\ 22y=110\end{bmatrix}[/tex]

now solving for y

[tex]22y=110[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}22[/tex]

[tex]\frac{22y}{22}=\frac{110}{22}[/tex]

[tex]y=5[/tex]

[tex]\mathrm{For\:}7x-y=51\mathrm{\:plug\:in\:}y=5[/tex]

[tex]7x-y=51[/tex]

[tex]7x-5=5[/tex]

[tex]7x=56[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}7[/tex]

[tex]\frac{7x}{7}=\frac{56}{7}[/tex]

[tex]x=8[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]


Related Questions

Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Given:

AB ≅ BC

AK ≅ KC

∠AKE ≅ ∠CKP

To Prove:

ΔAKE ≅ ΔCKP

         Statements                               Reasons

1). AB ≅ BC                                          1). Given

2). ∠BAC ≅ ∠BCA                              2). Property of Isosceles triangles

3). ∠EKA ≅ ∠PKC                               3). Given

4). ΔAKE ≅ ΔCKP                               4). ASA Postulate of congruence

Hence ΔAKE ≅ ΔCKP.

20c - 8d? need help kinda hard

Answers

Answer:

the answer is 4(5c-2d)

Answer:

20c-8d

Step-by-step explanation:

As long as you weren't any values for c or d, this expression cannot be simplified any further.

HTH :)

From a collection of 124 poems, 36 are sonnets, 42 are odes, and 46 are free verse. A poem is
selected from the collection at random. Find the probability that it is a sonnet or an ode. Express
your answer to the nearest whole percent.
A 49 percent
B 63 percent
C 83 percent
D 77 percent

Answers

Answer:

63

Step-by-step explanation:

36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63

Answer:

Answer, B

Step-by-step explanation:

add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.

Point A is located at (2, 9) and is reflected in the x-axis. What is the location of Point A'?
(-2, -9)
(2, -9)
(-2, 9)
(9, -2)

Answers

9,-2 because i used to always get confused but i’m not sure that’s the right answer

Find the slope of the line through the given points.
(10, 11) and (15, 16)

Answers

I’m going to say it’s 15, 16
Slope (y2-y1)/(x2-x1)
(16-11)/(15-10) = 5/5 = 1
The slope is 1

I need to show my work using dmdcb help?

Answers

Answer:

2139 with a remainder of 1

Step-by-step explanation:

hope this helps :))) have a great day!

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 260 minutes, the monthly cost will be $114. If the customer uses 640 minutes, the monthly cost will be $247.


A) Find an equation in the form y= mx+b, where x is the number of monthly minutes used y is the total monthly cost of the NextFell plan.


Answer: _____



B) Use your equation to find the total monthly cost if 949 minutes are used.


Answer: If 949 minutes are used, the total cost will be _____ dollars.

Answers

Answer:

Explained below.

Step-by-step explanation:

(A)

Use two-point form to determine the equation for the total monthly cost of the NextFell plan.

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x -x_{1})\\\\(y-247)=\frac{247-114}{640-260}\cdot (x-640)\\\\(y-247)=0.35x-224\\\\y=0.35x+23[/tex]

(B)

Compute the total monthly cost if 949 minutes are used as follows:

[tex]y=0.35x+23\\\\=(0.35\times 949)+23\\\\=355.15[/tex]

Thus. the total monthly cost if 949 minutes are used is $355.15.

HELP ME FASTTTTTTTTTTTTTTTTTTTT

Answers

Its A correct answer

2(x - 5) = 9 -3x + 6 + 8 + 3x + 7

Answers

Answer:

x = 20

Step-by-step explanation:

2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7

2x - 10 = 9 - 3x + 6 + 8 + 3x + 7

2x = 10 + 6 + 8 + 7 + 9

2x = 40

x = 40 ÷ 2

x = 20

Thus, x = 20

-TheUnknownScientist

2 is 12.5& of the number

Answers

Answer:

if you ment to say 2 is 12.5% of what number the answer would be 16

Step-by-step explanation:

Write down what you know with x as the number you need to find.

Of is always "multiply"

Choose another way to write 12.5%

2 =12.5% of x

So 2 = 0.125xx

x= 2 *over*0.125

x=16

Answer:

x=16

Step-by-step explanation:

Let the number be x.

if they say 12.5% of a number, this means that 12.5/100 *x which will be :

12.5/100x

make it an equation (a true one)

12.5/100x=2

divide.

2 divided by 12.5/100x would be

x=16!

Cheers, I hope you can understand it well!

what is the value of x in teh equation 1/5x-2/3y=30, when y=15​

Answers

Answer:

x=200

Step-by-step explanation:

Given the equation

[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]

putting y=15

[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]

[tex]\frac{1}{5}x-10=30[/tex]

add 10 to both sides

[tex]\frac{1}{5}x-10+10=30+10[/tex]

[tex]\frac{1}{5}x=40[/tex]

[tex]x=200[/tex]

Therefore, the value of x:

x=200

can u pls help me with this question ​

Answers

Answer: It would be B 9/50

Step-by-step explanation: if you take 3/7 and x it by 0.1 you get 0.04285714285 and then if you divide that by 5/21 you get 0.18 which equals 9/50 as a fraction

hidden cost of being a teacher?

Answers

Answer:

they have to pay for school supplies

Step-by-step explanation:

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −6
0 −3
1 0
g(x)

g(x) = 4x − 5


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Answer:Assuming the problem is for the linear functions:

f(x) = -1-50-113 g(x) = -51-113*(2x-7) = -226x+740  

g(x) = 2x-7

Step-by-step explanation:

Find the slope of the line graphed below.

Answers

Answer:

-3/5

Step-by-step explanation:

Answer
3/5
Explanation:
You have to remember rise over run. How many is going up/ rising? 3 is rising/ going up. How many is going across/run? 5 is going across/ run so your answer is 3/5 If you have anymore questions just ask

The age of a cat 2 years or older can be approximately converted into human years by multiplying by 4 and adding 16. Complete the table to represent the relationship between cat age and human years.

Answers

Answer:

Step-by-step explanation:

If the age of a cat is represented by 'x' and human years by 'y', relation between the age of cat and human years will be,

y = 4x + 16 [multiplying cat's age by 4 and by adding 16]

Now from the given table,

If x = 2,

y = 4×2 + 16

  = 24

If y = 3,

y = 4×3 + 16

  = 28

If x = 4,

y = 4×4 + 16

  = 32

If x = 5,

y = 5×4 + 16

  = 36

If x = 6,

y = 6×4 + 16

  = 40

Cat age             2            3           4            5            6

Human years   24          28        32          36          40

multiply (4u - 9s) (4u+ 9s)

Answers

Answer:

it would be 16u2-81s2 using a2-b2 formula

I reallY need help with these problems. if somebody could give me the answers that would be great

Answers

Answer:

∠AMC  = 75

Step-by-step explanation:

ΔABC,

∠C = 90°  ; ∠B = 30°

∠A + ∠B +∠C  = 180   {Angle sum property of triangle}

∠A + 30 + 90 = 180

       ∠A + 120 = 180

                 ∠A = 180 - 120

                 ∠A  = 60°

In ΔACM,

∠ACM = 90/2  =  45°         { CM is angle bisector}

∠ACM + ∠AMC +∠A =  180   {angle sum property}

   45 +  ∠AMC + 60 = 180

            ∠AMC + 105 = 180

                     ∠AMC = 180 - 105

∠AMC  = 75

 

What is 2 ( 14+3) times 12 divided by 2?

Answers

The answer is in the picture below
Hope this helps!!!

Answer:

Step-by-step explanation:

2.0 PLZZ help thank you

Answers

Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars

Hope this helps :)

15$
Hope this help :)

[tex]5 +1[/tex] x [tex]10[/tex] = ?

Answers

Answer:

60

Step-by-step explanation:

Put in Parentheses.

(5 + 1) x 10 =

Solve numbers inside parentheses.

5 + 1 = 6

Now we have 6 x 10.

6 x 10 = 60

what is the midpoint between a(2,-2) and B (-3, 2)​

Answers

Answer:

Midpoint (xM, yM)  =  (4, 5)

Hope it helps if it does pls give me brainly :)

(4,5) thats is the midpoint between them

find the inequality represented by the graph?

Answers

Answer:

y>1/3x-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{3}[/tex]

y-intercept is (- 3)

y > [tex]\frac{1}{3}[/tex] x - 3

Suppose m<3=127 degrees. Find m<1.

Answers

Answer:

m∠1 = 37°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

Definition of a Line: A line is 180°All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

m∠3 = 127°

m∠G = 90°

Step 2: Find m∠2

Set up equation:                    m∠2 + 127 = 180Isolate unknown:                   m∠2 = 53°

Step 3: Find m∠1

Set up equation:                    m∠1 + m∠2 + m∠G = 180Substitute:                              m∠1 + 53 + 90 = 180Combine like terms:              m∠1 + 143 = 180Isolate unknown:                   m∠1 = 37°

Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m.
Demarcus has?
Om> 8+4
8 - m < 4
8m > 4
HELPPPPPP PLEASE

Answers

Answer:

8m > 4

Step-by-step explanation:

8m, (the amount of money Demarcus has), is more than how much money his older sister has, (4), so 8m is greater than (>) 4

Answer:

8m > 4 is the correct answer:)

Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number.

Answers

Answer: 6 1/4?
It says my answer needs more characters, so I’m adding this

Answer:

Step-by-step explanation:

Divide 100 by 16 and you get 6.25 then turn it into a mixed number which would be 6 25/100 then reduce 25/100 by dividing 100 by 25 and 25 by 25 which will give you 1/4 so the answer is 6 1/4.Welcome!

Which of the following would be the slope of the line perpendicular to the line y=1/3x+3​

Answers

Answer:

Step-by-step explanation:

-3

perpendicular slope is the negative of the reciprocal

the reciprocal of 1/3 is 3

the opposite of 3 = -3

Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning,

Answers

Answer:

She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.

Step-by-step explanation:

Answer:

Yes she is correct cause 30 times 30 percent is 9

Step-by-step explanation:

If you can solve this for me, I'll give brainliest. It's due today please help

Answers

Answer:

free 25

Step-by-step explanation:

Pre-algebra 2x+56=22 and -99+-51=60 also 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 and (-4 , -5) and (-1 , -1). Solve Now for brainly big brain people can only solve this question!!!

Answers

Answer: 17

Step-by-step explanation:

2x + 56=22

- 56 -56

2x = -34

divide 2x by both sides

x = -17

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