X-Y=9 and 2X+5Y=4 solve by substitution

Answers

Answer 1

Answer:

(7,-2)

Step-by-step explanation:

Answer 2

Answer:

(7, - 2 )

Step-by-step explanation:

x - y = 9 ( add y to both sides )

x = y + 9 → (1)

2x + 5y = 4 → (2)

Substitute x = y + 9 into (2)

2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side

2y + 18 + 5y = 4

7y + 18 = 4 ( subtract 18 from both sides )

7y = - 14 ( divide both sides by 7 )

y = - 2

Substitute y = - 2 into (1)

x = - 2 + 9 = 7

solution is (7, - 2 )


Related Questions

Which of the sets of ordered pairs represents a function?

A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}

a
Both A and B

b
Only B

c
Only A

d
Neither A nor B

Answers

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.

What is the next fraction in this sequence? Simplify 3/14,2/7,5/14,3/7, its due today please help

Answers

The next fraction in the given sequence is; 7/14

We are given the sequence;

3/14, 2/7, 5/14, 3/7.

To get the next fraction in the sequence, we have to find the pattern of the differences.

Difference between first and second term is;

2/7 - 3/14 = 1/14

Similarly, for 2nd and 3rd term;

Difference = 5/14 - 2/7

Difference = 1/14

Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7

Next fraction = 3/7 + 1/14

Next fraction = 7/14

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Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.

Answers

Answer:

15.03m

Step-by-step explanation:

h=V/πr2

h=1700/π·62

h≈15.0313

Hope that helps

the smiths want to fence their square garden, which has an area 256 square meters.

Questions 4, 5 and 6
PLEASE I NEED THIS ASAP

Answers

The answer s=16 answer 48

Write an equation in slope-intercept form of the line that passes through the points.

Answers

Answer:

y=-2x

Step-by-step explanation:

M= y2-y1/x2-x1

  = 6-0/-3-0

  = 6/-3

 = -2

when X is 0 Y is also so C is 0

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.

Answers

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given two points:

(5,−10) and ( 11 , − 12 )

Let,

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

Substitute

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

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3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?

Answers

Find and solve the equation for the value of n (by finding the value of n, you are finding which value of n that makes the statement true.)

3.74 = 0.4n + 2.5

3.74 - 2.5 = 0.4n

1.24 = 0.4n

n = 3.1

So the value of n which makes the statement true is 3.1

Hope this helps :)

The value of n for the equation to be true is n = 3,1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A , 3.74 = 0.4n + 2.5

Now ,

3.74 = 0.4n + 2.5

Subtracting 2.5 on both sides of the equation , we get

0.4n = 3.74 - 2.5

0.4n = 1.24

Divide by 0.4 on both sides of the equation , we get

n = 3.1

Therefore , n = 3.1

Hence , the value of n for the equation to be true is n = 3.1

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Find the unit rate. 400 cupcakes in 8 hours​

Answers

Answer:

50 per hour

Step-by-step explanation:

Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).

Answers

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

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write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%​

Answers

I think 80 percent… hope this helps

Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?​

Answers

A is the answer the total coast of t shirts

Simply the Expression.

Answers

32768
x
10
There’s something wrong with the question re check it

please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3

Answers

2x3 + 7x2 + 2x + 9
——————————————————
2x + 3

Answer:

3

Step-by-step explanation:

cool

What is the formula for guess work pricing?

Answers

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

Please help with this I will mark you as brainliest

Answers

Answer:

The answer is t = 0.25

Step-by-step explanation:

Answer:

t = 0.25

Step-by-step explanation:

Who ever can answer these three questions first I will give them a brainliest! Or two
Need help ASAP. Heeellllppppp ppplllllsss!!!


5. 6. And 7.

Answers

Answer:

mathemiatical porbs is is  it itroon poickg niucer g tnt g hayabusa sanjo          karaneteooo  break the code

Step-by-step explanation:

If AABC ~ ADEF, then which of the following must be true? Check all that apply.

Answers

Answer:

#1 and #3

Step-by-step explanation:

What does: 8w+22=34 equal?

Answers

Answer:

3/2

HOPE I HELPEDD

Answer:

w= 1 1/2

I dont know if thats the question youre asking, if its not tell me.

These steps are from a chemistry lab.

Assignment:

1. Pour 0.4 grams of salt into beaker A.

2. Add 20% of the salt from beaker A to beaker B.

3. Add 3 ounces of water to beaker B.

4. Stir the solution in beaker B.

Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?

_______________ grams

Answers

Answer: The answer to this question is 0.08. I hope this helps!

Step-by-step explanation:

0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08

What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.

Answers

The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

12 (–1.4m + 0.4) = m + 0.2

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

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Use the scale to help you solve the equation.​

Answers

The answer to your question is C. The second scale has 9. The other scale has 4. You need to subtract 9 and 4. 9-4=5

Find the value of x so that the ratios are equivalent.

9:x and 54:8

Answers

Answer:1.33 (Repeated decimal)

Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.

The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.

Answers

Answer:

A=B+H

Step-by-step explanation:

I rearange the letters and also I put a plus singe

Please help find these values.

Answers

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

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Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31

Answers

The answer for the binary number 10101 is 21

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Done!

Name an angle adjacent to FGI
JGI

HGJ

DGE

HGE

Answers

Answer:<JGI

Explanation:

Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH

Hope this helps.

The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.

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Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)

Answers

Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

Question is in picture please help will mark brainliest

Answers

Answer:

4+2(n-1)+5(n-1)

Step-by-step explanation:

We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).

That will result in

4+2(n-1)+5(n-1)

Please give brainliest! Thank you!

Y= -2x+4 in function notation

Answers

Answer:

Hello!!!

[tex]y = - 2x + 4 \\ 0 = - 2x + 4 \\ 2x = 4 \\ x = 2[/tex]

Step-by-step explanation:

That is the answer :D

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