Q: using the Substitution Method, and the value ory in
Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10

Answers

Answer 1

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.


Related Questions

What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.

Answers

Answer:

see below

Step-by-step explanation:  5 25 14  16

the graph shows the roots of the polymonimal to be

x = 0   and x - 4 = 0     x = 4     when y or f(x) = 0

f(x)   =   x(x-4)   =  x² - 4x

f(x)   =   x² - 4x

when x = 0   f(x) = 0

         x = 2   f(x)  =  2² - 4(2)   =  -4

         x = 4   f(x)  =  4² - 4(4)   =  0

The factorization of the polynomial graphed are,

⇒ y = x (x - 5)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have been given graph of polynomial.

This is in parabolic shape.

So, this is graph of quadratic function.

Hence,, there will be two zeroes.

And also number of zeroes of a function is equal to the number of times graphs cuts x-axis

Here, we can see graph cuts at (0,0) and (5,0).

So, the Factors will be:

(x - 0) and (x - 5).

Since, If x = 0 is a zero then it means factor will be (x)

Similarly, If x = 5 is a zero then it means factor will be (x-5).

Thus, the factorization of the polynomial graphed are,

⇒ y = x (x - 5)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is​

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.

Answers

Answer:

53 weeks

Step-by-step explanation:

Given :

Reams of paper used :

3 reams = 4 Week

A case of 5 paper = 8 reams

Hence,

5 cases of paper = (8 * 5) = 40 reams

If :

3 reams = 4 weeks

40 reams = x

Cross multiply :

3x = 40 * 4

3x = 160

x = 160 / 3

x = 53. 333

Approximately 53 weeks (nearest whole number)

1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?

Answers

look it up online i think it will be pretty easy and should be the first one to pop up

Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66

Answers

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000

Answers

Answer:

$300000

Step-by-step explanation:

down-payment would $75000 so minus it from $375000 to get the mortgage

Answer:300000

Step-by-step explanation:

375000/100 =3750

1 percent = 3750

20 percent = 3750*20=75000

375000-75000= 300000

If it is helpful t

Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?

1 foot = 12 inches

Solution:

Elijah:
inches

Lorie:
inches
NO LINKS

Answers

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07

Answers

Answer:

B is the answer to the question.

Step-by-step explanation:

What is the value oh x?

Answers

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome

Answers

60 times

You have a 1/3 chance each spin.

1/3 = x/180
180 = 3x
x = 60

PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

xy^-3 is equivalent to ______

Answers

Answer:

xy3 your welcome tell me if I got it right ✅

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

What would you add to 1/6 to get 2/3

Answers

I would add 1/6 to 3/6 2/3 is equal to 4/6 to 1/6 plus 3/6 is 4/6

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Find the length of NL.

Answers

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]

NL = 4 + x = 4 + 4 = 8

Please solve and hurry

Answers

Answer:

225°

Step-by-step explanation:

[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!

Answers

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

· 1 pint of white icing

· 4 1/4 teaspoons of blue food coloring

· 2 1/2 teaspoons of red food coloring.



Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)

Answers

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.

Answers

Answer:c

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

Stole the picture off a website (which can not be named here lol)

The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answers

Answer:

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Step-by-step explanation:

find the value of x. round to the nearest degree
Not drawn to scale

Answers

Answer:

[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]

x= 57°

What is the perimeter of the figure?

A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2

Answers

Answer:

A. 34cm

Step-by-step explanation:

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy

Answers

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]

Open bracket

[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]

Open bracket

[tex]P = 8 - 42x + 56y + 12xy[/tex]

10 (-2 + 3y) + 8y = -20

Answers

This is y=0
………………………

Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in

Answers

Surface area is 240 in^2

The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?

Answers

Answer:

375 posters can be printed for $950

Step-by-step explanation:

First, create an equation. X = number of posters: 200+2x=950

Second, subtract 200 from both sides to get an equation of: 2x=750

Third, divide 2 on both sides to get: x = 375

Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?

Answers

Answer:

12

Step-by-step explanation:

number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna

3 ÷ 1 /4

= 3 x 4 = 12

Yo can someone help me out

Answers

Answer:

theres an black screen

Step-by-step explanation:

mark as brainliest!!

Answer:

Cant see the image

What does an equal sign mean mathematically?

Answers

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

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Two groups went bowling. Here are the scores from each group.Group A: 80, 100, 190, 110, 70, 90, 130Group B: 50, 110, 100, 120, 107, 140, 150708019050 6090 100 110 120 130 140 150 160 170 180score in points1. Construct two box plots, one for the data in each group.2. Which group shows greater variability? Explain how you know. A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the pyramid? Convert the measurement indicated.96 in to feet96 in = 11 ft what is the major organic product obtained from the following sequence of reactions 1. naoch2ch3 ch3ch2oh 2. ph br 1. naoch2ch3 ch3ch2oh 2. br 1. lialh4 et2o 2. h3o which expression below has a value in between 0 and 1?a) 5(^-2)*1b) (3^2)^3c) 1/2*2^33(^-2)*3^3 How to find the central angle What is quantum, in your own words but be more detailed. You try to explain the number of IBM shares traded in the stock market per day in 2005. 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