What do you mean by method of factorization in method of substitution?

Answers

Answer 1

Method of factorization in method of substitution is a technique used to solve systems of linear equations. In this method, one of the equations is multiplied by a factor to make the coefficient of one of the variables the same. This allows the equations to be combined and solved for the remaining variables.

Solving Linear Equations Using Method of Factorization in Method of Substitution

Method of factorization in method of substitution is a useful technique for solving systems of linear equations. It allows one to isolate a single variable and make use of substitution to solve the system. The first step is to multiply one of the equations by a factor to make the coefficient of one of the variables the same in both equations. This allows the equations to be combined and solved for the remaining variables. Once the values of the variables have been found, they can be substituted into the other equation to find the solution of the system. This technique is beneficial because it allows one to avoid tedious calculations that are often required when solving linear equations.

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Related Questions

Find a possible solution to the equation cos(x+2) = sin(3x)

A. x=0.5
B. x=1
C. x=22
D. x=44

Answers

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

The answer to your question is c!

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as

Answers

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

What is the answer for x?
5=-2.5x+8

Answers

the answer for x is
x = 1.2
x=-1.2

you’re welcome!! hopefully it’s correct :))

HELP URGENT PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

y=69*43

Step-by-step explanation:

this is not correct because the words are writen

Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm

Answers

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Using ABC, identify the ratio for sine of C​

Answers

Answer:

BA / AC

Step-by-step explanation:

Given the triangle ABC;

To obtain the Sin C

Defining the attached triangle with respect to C:

Sine = opposite / hypotenus

Sin C = BA / AC

Hence, the ratio of sinC is BA /AC

need help please will mark you brainliests please give reason to ​

Answers

Answer:

angle BAD = 180 -2x

angle BCD = x                                                    given

angle BCD is an inscribed angle                      

angle DOB = 2 (angle BCD)                              

angle BAD = 180 -angle DOB                           2 tangent theorem      

Step-by-step explanation:

Answer:

[tex] m\angle BAD= (180 - 2x)\degree [/tex]

Step-by-step explanation:

[tex] m\widehat {BD} =2\times m\angle BCD[/tex]

(By inscribed angle theorem)

[tex] m\widehat {BD} =2x\degree [/tex]

[tex] m\widehat {BCD} =360\degree - m\widehat {BD}[/tex]

(By arc sum property of a circle)

[tex] m\widehat {BCD} =360\degree - 2x\degree [/tex]

[tex] m\angle BAD=\frac{1}{2} (m\widehat {BCD}-m\widehat {BD}) [/tex]

(by property of intersecting tangents outside of the circle)

[tex] m\angle BAD=\frac{1}{2} [(360\degree - 2x\degree) -2x\degree] [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 2x\degree -2x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 4x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} \times 2(180\degree - 2x\degree) [/tex]

[tex] m\angle BAD= (180 - 2x) \degree [/tex]

2. What is 45% of 90?
O A. 40.5
OB 45
O 0.50
OD 200

Answers

Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.

Answers

Answer:

320 cm sq

Step-by-step explanation:

Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?

Answers

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Answers

Answer:

Step-by-step explanation:

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Let us represent

Number of apples = x

Number of pears = y

Number of oranges = z

Given that

3 apples and 4 pears cost $1.95

3x + 4y = 1.95

4 pears and 1 orange cost $1.60

4y + z = 1.60

z = 1.60 - 4y

1 orange and 3 apples cost $1.15

z + 3x = 1.15

z = 1.15 - 3x

what is the cost of 1 apple?

list the 3 square number that end with the digit 9​

Answers

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

Solve the two-step inequality and match the answer to the graph

Answers

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Help please! I need asap

Answers

Answer:

b

Step-by-step explanation:

Answer:

B.137

Step-by-step explanation:

Its an  obtuse angle

The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8

Answers

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

The triangle whose sides are √13, 6, and 7, is a right triangle.

What is the right triangle?

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

Pythagorean Theorem :

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

How to solve this problem?

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

Know more about right triangles here -

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A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?

Answers

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

I need the point and the slope Y-5=1/2(x+3)

Answers

Answer: Slope: 1/2 Point: (0, 3/2)

Step-by-step explanation:

please help me you will be my fav person ever if u do

Answers

Answer:

The answer are 1_ ASA

2_ SSS

3_ SAS

Cole rides his bike to the ballfield starting from home. This
describes his trip:
A. Rides quickly downhill toward the field
B. Stops to wait for a friend
C. Rides slowly uphill toward the field
Drag a segment to each box to show the shape of the graph of
Cole's distance from home for each interval of time.
Describe the lines to chose as line 1 2 etc please

Answers

Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

Find the sum. Write your answer in simplest form. - 4 1/6 + 5 4/7 ​

Answers

Answer:

1 17/42.

Step-by-step explanation:

Find the common denominator, which is 42.

So change -4 1/6 to -4 7/42.

And change 5 4/7 to 5 24/52.

So add -4 7/42 + 5 24/52 and you'll get: 1 17/42.

(The decimal form of this is 1.404762)

Answer:9 31/42........

Find the scale factor of the small triangle to the large triangle.

Answers

Answer:

scale factor is: 2.25

Step-by-step explanation:

I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and solve it to describe the range of possible numbers

Answers

Answer:

[tex]3x-10<5\\x<5[/tex]

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

[tex]3x-10<5[/tex]

To find the range of possible values, we must solve the inequality and isolate x.

[tex]3x-10<5[/tex]

Add 10 to both sides

[tex]3x-10+10<5+10\\3x<15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]

I hope this helps!

HELP ANSWER FAST!!!!

Answers

Answer:D=5,6,7,8 R=5,6,7,8  fuction= yes

Step-by-step explanation:

D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction

D = 5,6,7,8
R = 5,6,7,8
Function? Yes

what is 5/6 -3/8 ........

Answers

Answer:

11 over 24  = 0.458

Step-by-step explanation:

a(9b+13) in expanded form

Answers

(A•9B)+(A•13) hope this helps

Find the slope!! Please

Answers

Answer:

The slope is -(1/3)

Step-by-step explanation:

For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).

This observation yields the following equation for your line:

f(x) = y = -(1/3)x + 1

Therefore, the slope is -(1/3).

Omg please help it is due in 21 minutes please help me!!!!!

Answers

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)
a 6 and 8 over 9
b 6 and 4 over 9
c 6 and 2 over 3
d 6 and 1 over 3

Answers

Answer: It equals 8.

Step-by-step explanation:

I really need hel, please help​

Answers

Answer:

1. 3(x-4)-9= 3

  3x-12-9=3

  3x-21=3

  3x=24

  x=8

2. x=6

3. x=8

4. x=2

Answer:

Miscellaneous

Step-by-step explanation:

1. Distribute and simplify to get: 3x-12-9 = -3

Then combine like terms to get 3x-21 = -3

Add 21 on both side sto get 3x = 18

divide 3 on both sides to get x=6

2. x+5 = 11

Subtract 5 from both sides to get x = 6

3. 2x-3 = 13

Add 3 to both sides to get 2x = 16

Divide 2 from both sides to get x =8

4. 4(x+2) = 16

Distribute to get 4x+8 = 16

Subtract 8 from both sides to get 4x = 8

Divide 4 from both sides to get x=2

Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).

Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).

Answers

1. y = -3x - 1
2. y = -3/1x + 16

Steps are on paper. If you need more explanation, you can comment.
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