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

NEED HELP ASAP
jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number line below represents the solution to the situation

Answers

Answer:

d

Step-by-step explanation:

How many square centimeters of
wrapping paper will be used to wrap the
shoe box?
14 cm
4
10 cm
10
28 cm

Answers

Answer:

1624 cm^2.

Step-by-step explanation:

2 * 10*28 + 2*14*28 + 2*10*14

= 560 + 784 + 280

= 1624 cm^2.

The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]

Calculation of the number of square centimeters:

Since

The length, width, and the height is 14, 10 and 28

So here it should be

[tex]= 2 * 10*28 + 2*14*28 + 2*10*14[/tex]

= 560 + 784 + 280

= 1624 cm^2.

Hence, The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]

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I need help understand

Answers

Answer: -18

2 1/4 = 9/4

9/4×-8/1

9×-8=-72

4×1=4

-72/4=-18

-18

I hope this helps:

While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?

Answers

Deidra should get 33 questions correct and 12 questions incorrect if she completes a tests with 45 questions.

If the ratio of incorrect questions to total questions is 8:30, that can be simplified down to 4:15.

There are 3 15's in 45 so you need to multiply 4 by 3 to get 12 incorrect answers.

To work out the amount of correct answers, you need to take the incorrect answers away from the total questions.

Answer:

I wnat to say its 19

Step-by-step explanation:

Simplify (-w^3/6)^-2
Write your answer using only positive exponents. Evaluate any numerical powers

Answers

36/w^6 is the correct answer

The simplified form of the given expression is -1/w¹.

What is a positive exponent?

A positive exponent tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given expression is [tex](-w^{\frac{3}{6} })^{-2}[/tex]

Here, [tex](-w^{\frac{3}{6} })^{-2}[/tex]=[tex]-w^{\frac{-6}{6} }[/tex]

= -w⁻¹

= -1/w¹

Therefore, the simplified form of the given expression is -1/w¹.

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Which expression is undefined?

Answers

Answer:

the answer is C

Step-by-step explanation:

you can never divide by 0

Answer:

c

Step-by-step explanation:

find the value of sin 0 in each of the following figures.​

Answers

Answer:

[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:

[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]

Three times two more than some number :

Answers

Answer:

5

Step-by-step explanation:

Answer:

6+x

Step-by-step explanation:

3(2)+x

6+x

I NEED HELP WITH ALL 4 I WILL GIVE BRAINLIEST

Answers

Answer 1 8.40 precent 2 23.4% 3 16% 4 f 10%

Step-by-step explanation:

43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5

Answers

Answer:

Step-by-step explanation:

Hihihihojohihij

ik this is the easiest question but who wanna do it for me?:(

Answers

Answer:

B.

Step-by-step explanation:

This ig summermckeen

Every 1 have a great day. If sum 1 pull you down get back up


Have a good day

Answers

Answer:

I hope you have a great day too

If 36% of a number is 42, find 6% of that number.

Answers

Answer:

approx 7

Step-by-step explanation:

36% of 116 [tex]\frac{2}{3}[/tex] is 42

6% of 116 [tex]\frac{2}{3}[/tex] is 6.9999

Answer:

7

Step-by-step explanation:

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.

Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.

[Figure may not be drawn to sacle]

What is DG?

12 units
17 units
34 units
51 units

Answers

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

Between what two integers is √70?

Answers

Answer:

8 and 9

Step-by-step explanation:

8^2 is 64 and 9^2 is 81 so 8 and 9

please help me with this.

Answers

1.) 1 3/4 || 14/8 || 1 21/28
2.) 21/36 || 140/240
3.) 3 || 1 24/12 || 75/25 ||2 15/15

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)

Answers

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

Sal went to the grocery store. He bought 3 pounds of apples at $1.50 per pound,
2 boxes of cookies for $4, and 1 gallon of milk for $3.15. What is the change in the
amount of money he has?

Answers

Answer:

If each box of cookies cost $4: -15.65

If both boxes of cookies together cost $4: -11.65

A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
$0.65
B $0.60
$0.30
$0.70

Answers

It’s b ::::::::::::::::::0

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Answers

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Is (-10, 10) a solution to this system of equations?
18x + 20y = 20
20x – 2y = 9
yes
no

Answers

Answer:

No

(The first system is correct but the second one is wrong)

Step-by-step explanation:

You can plug (-10,10) into these equations

a)  18(-10)+20(10)=20

      -180+200=20

            20=20

b) 20(-10)-2(10)=9

      -200-20≠9

         -220≠9

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses

Answers

Answer:

She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

=  270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

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.

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Solve for X. 67 = 18 + X

Answers

67=18+x
-18. -18
49=x

Select the statement that is false about right triangles.
Group of answer choices

The hypotenuse is across from the right angle.

The length of the hypotenuse is equal to the sum of the area of the legs

The hypotenuse is the longest side,

The length of the hypotenuse squared is equal to the sum of the squares of the remaining two legs.

Answers

Answer:

its B hope it helps

Step-by-step explanation:

What is the sum of the interior angles of a polygon that has 18 sides

Answers

Answer:

The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.

Step-by-step explanation:

Answer:

2880 degrees.

Step-by-step explanation:

The sum of the measures of any polygon is the number of sides minus two multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.

Hope this helps!

Brain-List?

Please Help! #17, 18, 19

Answers

Answer: 17: No, the triangles are not similar.

I'm sorry, that is the best I can do, I forgot all about triangles ;-;

Step-by-step explanation:

Please answer this question, they said the answer has to be in fraction form or hole number

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

Fun fact
Bananas are curved because they grow towards the sun ☀️

Answers

Answer:

true

Step-by-step explanation:

Thank you for the information, very interesting! <3

Hey ! I’m trying to find the slope. If you could help me that’ll be great thank you !!

Answers that might be:

A. 2/3
B. 1
C. 0
D. -1

Answers

Answer:

The answer is B. 1

Step-by-step explanation:

rise over run

1/1=1

Answer:

I'm pretty sure it's B. 1

Step-by-step explanation:

Because I got 2 points where the line crosses and I made a triangle joining the points

Then I did the change in y/change in x

and so I did 2/2 and got 1

hopefully that's right :)

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