Simultaneous Equation

Simultaneous Equation

Answers

Answer 1

Answer:

x = 5 ,

y = 3

Use substitution method .

Simultaneous Equation
Answer 2

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=13;5x−4y=13

Step 1: Solve 2x+y=13 for y:

Solve 2x + y = 13 for y

2x + y + -2x = 13 + -2x

(add -2x to both sides)

y = -2x + 13

Step 2: Substitute −2x+13 for y in 5x−4y=13:

5x−4y=13

5x−4(−2x+13)=13

13x−52=13(Simplify both sides of the equation)

13x−52+52=13+52(Add 52 to both sides)

13x=65

(Divide both sides by 13)

13x/13 = 65/13

x = 5

Step 3: Substitute 5 for x in y = −2x+13:

y = −2x+13

y = (−2)(5)+13

(Simplify both sides of the equation)

y = 3

Answer: x= 5, y= 3


Related Questions

Richard started his walk at the ice cream shop. He reached the library and continued to the park. If Richard walks for a total of 20/8 miles, how much farther did he walk beyond the park?

Answers

Answer:

He has walked almost 12 miles beyond the park.

Step-by-step explanation:

Richard walked for a total of 20/8 miles. He started the walk from ice cream shop and then reached the library. The distance from library to the ice cream shop is 8 miles. The total distance that he travelled from the library to park is 12 miles.

HELP PLEASE SOMEONE !!!!!!!!!!!!!
Which of the following statements must be true based on diagram below? choose the correct answer please !!!!!! Will mark Brianliest !!!!!!!!!

Answers

Answer: I strongly agree with [none of the above]

Step-by-step explanation:

Can Somebody help me real fast?

Answers

(2x+11)+(5x+1)=180
7x+12=180
7x=168
x=24

Simplify
5т — п — 5п + 2

Answers

Answer:

5t-4n+2

Step-by-step explanation:

n-5n=-4n

5t-4n+2

Hi, help will be appreciated, thanks

Answers

Answer:

z=4; y=8

Step-by-step explanation:

look up 30-60-90 triangle side length formulas: it will explain it better than I can

See attached an good explaination would be appreciated

Answers

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

ANSWER QUICK BESTIES!! ty

Answers

Answer:

Option B

Step-by-step explanation:

Option A, C and D have x- values that repeat and you cannot have that.

Y values can repeat but not x-values.

Option B has all x values with different y-values

Answer:

B.

Step-by-step explanation:

an output can have more than one input but an input can only have one output

basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that

hope this helps <3

show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)​

Answers

Given:

The statement is

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

To prove:

The given statement.

Solution:

We have,

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

Now,

[tex]LHS=(4p^2-3q)^2+48p^2q[/tex]

Using [tex](a-b)^2=a^2+b^2-2ab[/tex], we get

[tex]LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2+24p^2q[/tex]

It can be rewritten as

[tex]LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)[/tex]

Using [tex](a+b)^2=a^2+b^2+2ab[/tex], we get

[tex]LHS=(4p^2+3q^2)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Discuss the history of algebra. Discuss some of the key developments in the field of algebra and discuss who the contributors were? Provide a timeline of these key developments 4 paragraphs plz i'll give branliest 50 points i need this plzz

Answers

History of algebra

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).

This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.

Find the discriminant.
- 4y^2- 8y + 2 = 0

Answers

Answer:

this is not equal to zero

Hello! I need help this is important I have 5 minutes left! Thanks!

Answers

Answer:

I think H

Step-by-step explanation:

Pls mark me brailist

( please help ) write the equation of the line below

Answers

Y=1/5x+4 is the equation of this line. Your y-intercept is 4 and the rise over run of the line is 1/5

Question 4 The 6th grade class is raising money for a camping trip to the mountains. So far they have raised $900, which is 60% of the total cost. How much money does the total trip cost?​

Answers

Answer:

1500

Step-by-step explanation:

Total cost would be 60%+40%

Since we have 60% amount already

0.60* total cost=900

total cost=90000/60

=1500

26x + 13y = 39
.
Rearrange this equation so it is in the form y = mx + b
After you have rearranged the equation, identify the slope and the y-intercept.
If x = 6, what should y =? Show all necessary work and steps. Round any decimals to
1 place as necessary.
If y = -1, what should x =? Show all necessary work and steps. Round any decimals
to 1 place as necessary.

Answers

Answer:

Rearrange: y=-2x+3

if x=6 then y = -9

if y=-1 then x = 2

Step-by-step explanation:

Algebra

to rearrange here are the steps

26x+13y=39

First move x to other side by subtraction

13y= -26x+39

to get y as just y divide everything by 13. Since 13/13=1 or 13y/13= y

y=-2x+3

The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the population was at the start?

Answers

Answer:

32 times as many bacteria after 5 days

A four-sided polygon has sides that measure 1 cm, 5cm, and 7 cm. (Forth side not given). What is the perimeter?

Answers

Answer:

(13+x)cm

Step-by-step explanation:

Given data

Length of sides

1cm, 5cm, 7cm

Since the shape is four-sided and the fourth side is not given, let the fourth side be x

so

The perimeter of the polygon is

P= 1+5+7+x

P= 13+x

Hence the perimeter of the polygon is

P= (13+x)cm

What is the equation for the axis of symmetry of the graph of this function?

F x = -3
G y = -3
H x = -5
J y = -5​

Answers

F is the anwser:))))))))))

What does this equal

Answers

Answer:

36

Step-by-step explanation:

It equals 36 hope this helps!!

What is the area of the following circle? Either enter an exact answer in terms of " or use 3.14 for 7 and enter your answer as a decimal. cle arc r=1 nce of s of units​

Answers

Answer: 21.98

Step-by-step explanation:

A circle’s circumference is 600 m. What is a good approximation of the circle’s area?
300, 3000 or 30,000 meters squared

Answers

Answer:

30,000 meters squared.

THE TOP IS 4 I will mark brainlist

Answers

Answer:

i think that its c?

Step-by-step explanation:

plz help will give brainliest

CDE is reflected over the Y- Axis

Answers

Answer:

The answer to this question is A

The new coordinates will be C( 3 ,0),  D( 7,1) , E(2,4) , Option A is the correct answer.

What is the meaning of Reflection ?

When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.

The figure is given in the question.

The coordinates of the figure is

C( -3 ,0)

D( -7,1)

E(-2,4)

When reflection is done along any axis , the coordinates of the other axis change sign.

so in this case ( x,y ) -----> ( -x,y)

The new coordinates will be

C( 3 ,0)

D( 7,1)

E(2,4)

Therefore Option A is the correct answer.

To know more about Reflection

https://brainly.com/question/15487308

#SPJ2

Please help me!

A taxi charges a $2 flat fee plus $2.35 per mile. If Caleb can spend no more than $47, write and solve an inequality to represent the number of miles m he can ride in the taxi.
Select the correct inequality to represent this situation.
2.35 + 2m < 47
2 + 2.35m ≤ 47
2.35 + 2m ≤ 47
2 + 2.35m < 47

Answers

Answer:

2+2.35<47

Step-by-step explanation:

because the taxi charge $2 + $2.35 per mile and < means you spend less than $47.

Order the following set of rational numbers from least to greatest: -8, -19, 0, 1/2, 1/4

Answers

Answer:

-19, -8, 0, 1/4, 1/2 is the correct order

Answer:

[tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Step-by-step explanation:

Skills required: Ordering a set of numbers

1) [tex]-8,-19,0,\frac{1}{4}, \frac{1}{2}[/tex] are the numbers we are given. There are 2 important things to think about when ordering this set.

Negative numbers (the numbers with a "-" sign in front of it) are always less than 0. Negative numbers are: -1, -5, -67, -990Positive numbers (the numbers without a "-" sign in front of them) are always greater than 0. Positive numbers are: 1, 3, 45, 67

2) Based on this, we can split the 5 numbers into 3 groups:

The negative group: -8,-19The special group: 0The positive group: [tex]\frac{1}{2}, \frac{1}{4}[/tex]

3) Starting with the negative group, we can easily find which number is greater.

-1 is greater than -2.

-23 is greater than -35.

Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number

4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers

5) Now onto the positive numbers, which is also easily solvable.

When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.

Do division. [tex]\frac{1}{4}[/tex] is 1 ÷ 4 and [tex]\frac{1}{2}[/tex] is 1 ÷ 2. So, generally, given a fraction [tex]\frac{x}{y}[/tex], you would do x ÷ y to find the decimal form. If you know how to compare decimals, this is a good way. 1 ÷ 4 is 0.25 and 1 ÷ 2 is 0.5, and 0.5 is greater than 0.25, making [tex]\frac{1}{2}[/tex] greater than [tex]\frac{1}{4}[/tex] Compare denominators. So, these two fractions have the same numerator of 1. To find out which is greater, we can look at the denominators. If 2 fractions have the same numerator, the one with a lower denominator is greater, when looking at positive numbers. 2 is less than 4, so [tex]\frac{1}{2}[/tex] is greater than [tex]\frac{1}{4}[/tex]

This means that [tex]\frac{1}{4}[/tex] is the 4th number, and [tex]\frac{1}{2}[/tex] is the 5th term.

Our ordered pair would then be: [tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Hope this helps and have a nice day!! :) :] :D

x (5x+10) - 2 (5x+10) = 0

Answers

Answer:

x(5x+10)-2(5x+10)=0

x(5x+10)=2(5x+10)

x=2

Evaluate the expression when a=-4 and x=4

7a-x

Answers

Answer:

-32

Step-by-step explanation:

a = -4

x = 4

7(-4) - (4)

-28 - 4

-32

Answer:

-32

Step-by-step explanation:

=7a-x

=7(-4)-(4)  (When a=-4 ,x=4 )

=-28-4

= -32

How many solutions does the system of equations below have? y = 7 6 x + 6 7 y = 9 2 x − 4 9

Answers

Answer:

Im not sure what type of solution you are looking for. You should be more specific. Though I will still give you some helpful solutions and you use the one you need.

Step-by-step explanation:

Factored: y=168x+67y-49

Solved for Y; -28x/11 + 49/66

Solved for X: -11y/28 + 7/24

X and Y intercepts:

X=( 7/24, 0 )

Y= ( 0, 49/66 )

I hope these answers help. Next time be more specific to what your looking for and make sure your equation is written correctly.

Given: y= 2x + 1 and - 4x + y = 9,
solve the system by substitution

Answers

Answer:

x=-4     y=-7

Step-by-step explanation:

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

-16+(-7)=9

9=9

x=-4

y=-7

gl

                 

What decimal is equivalent to 10/3?????

Answers

Answer:

That would be 3.0

Step-by-step explanation:

Hope this helps!

Have a nice day :)

Answer:

3.3333...

Step-by-step explanation:

Hope this helps :)

hi everyone
whoever gives me the best mem will get brainliesst !!
have fun lol

Answers

meme right if so i got one!!
But like....so trueeeee
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