Determine the solution to the system of equations.
3x - y = 9
2x - y = 6

Answers

Answer 1

Answer:

(3, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphingTerms/Coefficients

Step-by-step explanation:

Step 1: Define Systems

3x - y = 9

2x - y = 6

Step 2: Rewrite Systems

2x - y = 6

Subtract 2x on both sides:                    -y = 6 - 2xDivide -1 on both sides:                         y = 2x - 6

Step 3: Redefine Systems

3x - y = 9

y = 2x - 6

Step 4: Solve for x

Substitution

Substitute in y:                         3x - (2x - 6) = 9Distribute -1:                             3x - 2x + 6 = 9Combine like terms:                x + 6 = 9Isolate x:                                   x = 3

Step 5: Solve for y

Define equation:                     2x - y = 6Substitute in x:                        2(3) - y = 6Multiply:                                   6 - y = 6Isolate y term:                         -y = 0Isolate y:                                  y = 0

Step 6: Check

Graph the systems to verify the solution set (3, 0) is the solution.

The solution set to the systems would be where the 2 lines intersect.

We see that the intersection point is x-intercept (3, 0).

∴ (3, 0) is the solution set to the systems of equations.

Determine The Solution To The System Of Equations.3x - Y = 92x - Y = 6
Answer 2

isolate and solve for y

Step-by-step explanation:

subtract y from both sides than divide the x values from bothe sides


Related Questions

A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
walkway of uniform width whose area is at least as large as the area of the pool. What is the
minimum width of the walkway? Show the steps of your solution.

Answers

Answer:

15m I think

Step-by-step explanation:

Sorry if im wrong

The area of a rectangle can be found by taking the product of length and breadth. The minimum width of the walkway is 15 m.

What is a Rectangle?

A quadrilateral that has its opposite sides as equal and all the angles are right angle is called a Rectangle. The diagonal of a rectangle is greater than its length and breadth.

The given rectangle has dimension of 15 × 30.

Suppose the uniform width of walkway be d.

Then, the area of walkaway can be written as

Area = (15+d)×(30+d) - 15×30

As per the question,

15×30 =  (15+d)×(30+d) - 15×30

(15+d)×(30+d) = 2×15×30

d^2 + 45d - 900 = 0

d = -60,15

As, length cannot be negative. Thus, d = 15m.

Hence, the minimum width of walkway is 15m.

To know more about rectangle click on the following link,

https://brainly.com/question/15019502

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what is n in the equation 2(2n + 3)

Answers

Solve Using the Quadratic Formula n^2-2n-3=0
n
2

2
n

3
=
0
n
2
-
2
n
-
3
=
0

Answer:

n=-1.5 or  -3/2

Step-by-step explanation:

4n+6

4n=-6

n=-1.5 or  -3/2


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative


Can someone pls help me

Answers

2 1/4 cups of pretzels

4+1/4 x + 3 = 10 pls help me​

Answers

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

I NEED HELP ASAPPPP!!!!!!!!!!!!!!

Answers

A: 178 feet away

B: 14 feet (?)

C: 1250 away from jonathon
1222feet away from seth
1386 away from mason (?)

Pleas help it’s due tomrrow

Answers

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

How many 2/5 s are there in 4?

Answers

Answer:

there are ten (10) 2/5 in 4 .

Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?

Answers

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Suppose the expression was (12 - 3)². Would you still simplify 3² first? Explain.

Answers

Answer:

No because the 2 is outside of the parentheses meaning it should be 9^2

Step-by-step explanation:

Answer:

No, I will not simplify 3² first.

Rather I would simplify (12-3) first, i.e., 9.

Then simplify 9² which gives the answer 81.

Step-by-step explanation:

(12-3)²= 9²= 81

help me plz its about algebra 1

Answers

A

Subtract 32 from both sides first, then divide both sides by 9/5

Round to the nearest tenth. 1.598 *

Answers

Answer:

1.6

Explanation:

1.598

Round from the nearest tenth

1.59

If the number in the hundredths place is higher then 5 then add one to the tenths place.

1.6

Can SOMONE help ASAP I don’t understand the diameter of a circle plz show me how y’all got the awswer plz!!!! It’s the top one

Answers

The area is 3.14 for number 6

Answer:

Step-by-step explanation:

the top one... which is I am assuming asking for the diameter?

Formula = d=2r  

so 2x4 which is 8

But if you were wanting number 6

the formula is A=πr2

which would be 3.14 x 1^1 = 3.14

you take the diameter and square it and then multiply it by pi

7207689984 !!!!!!!!!!!!!!

Answers

Answer:

838494393928262829292928288!!!!!!!!!!!!!!!$

6·(10-x)
helppp plssss

Answers

Answer:

6(10-x)

60-6x

Step-by-step explanation:

prove me wrong

What is the x-intercept?

Answers

Answer:

(5,0)

Step-by-step explanation:

I need help I don’t get it

Answers

You need to show the question to get the answer. All you can see is the lines...

Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP

Answers

Answer:

Proved

Step-by-step explanation:

m∠JPO  = 90  =  m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP

Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Please refer to the attached picture for the diagram.

We have:

KW is perpendicular to JO, JP is perpendicular to KO.

KN intersects with JP=Q.

From the figure:

Angle JPO =Angle OWK = 90 degrees

By using the reflexive property:

Angle O = Angle O

Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

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I don't understand how to do this

Answers

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

You are give a table of values of x and f(x). You are told that g(x) = (1/2)f(x), and you are asked for points (x, g(x)) that match that description.

It can be useful to mentally, or actually, add a third column to the table that shows the values of g(x). Each of those is half the corresponding value of f(x), because that is what g(x) = (1/2)f(x) means.

Having done that, you can then compare the ordered pairs (x, g(x)) to those in the answer list to see which ones match. The ones that match are highlighted in green in the attachment:

  (-1, -2) . . . . . . 2nd choice

  (6, 3/2) . . . . . 5th choice

brainliest to who ever answers correctly

Answers

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

no slope i’m pretty sure let me know what the answer is if i’m wrong

for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses

Answers

Answer:

13.33 pink roses

Step-by-step explanation:

We are told the floral arrangements are proportional , hence:

6 white roses = 8 pink roses

10 white roses = x

Cross Multiply

6 white roses × x = 10 white rose × 8 pink roses

x = 10 white roses × 8 pink roses/6 white roses

x = 13.333333333 pink roses

x ≈ 13.33 pink roses

6's + 2) = 18

S+2=
S=

Answers

Answer:

s+2=3

s=1

Step-by-step explanation:

make it braintliest please

The two circles have different diameters in the ratio 5:3.
(A) Calculate the radius of circle B if circle A has a radius of 35mm

(B) Calculate the area of circle A giving your answer to the nearest cm squared.

Answers

Answer:

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

Alright people..guess the lyrics if u don't get it right your not an arianator :)

"Somethin' 'bout you makes me feel like a dangerous woman"

Answers

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All girls wanna be like that

Bad girls underneath like that

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(Somethin' 'bout, somethin' 'bout, somethin' 'bout you)


QS and TV are parallel lines.

Which angles are alternate exterior angles?

the options are
<SRP and <VUW
<SRP and <QRP
<SRP and <TUW
<SRP and <TUR

Answers

Answer:

angle SRP AND ANGLE TUW

A Jacket is on sale at 15% off the original price of $68 what is the sale price

Answers

Answer:

around 57

Step-by-step explanation:

the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pearl?​

Answers

Answer:

The diameter of an atom is 25000  times the diameter of a pearl.

Step-by-step explanation:

Given that,

The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]

The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]

Taking the ratio,

[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]

So, the diameter of an atom is 25000  times the diameter of a pearl.

What is the value of Angle 'a'?
a
47°

Answers

Answer:

133

Step-by-step explanation:

180-47=133

Answer: if the shape is a triangle, 180-47=133

if it is any other shape, 360-47=313

Step-by-step explanation:

PLEASE HELP ITS DUE IN A FEW MINUTES

Answers

1. a+3a+4b=5b
2. a+3a=5b-4b
3. 4a=5b-4b
4. 4a=b
a=1/4b
(I think 1/4b is the answer) hope this helps :)

Answer:

a=5b-3a-4b

Step-by-step explanation:

We first need to move all terms that do not contain a to the right side of the equation. We cancel terms on the left side by adding -4b to both sides of the equation. a+4b-4b=5b-3a-4b

On the graph shown, what is f(-1)?

Answers

Answer:

where is the graph?

Step-by-step explanation:

hey there, there’s no graph to help out:)
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