Determine if the point (2,-1) is a solution of the system: 3x - y = 7 2x + 3y = 1

Answers

Answer 1

Answer: Yes (2,-1) is the solution for those systems.

becausee...

1. 3(2) - (-1) = 7

     6 + 1 = 7

     7 = 7

2. 2(2) + 3(-1) = 1

      4 - 3 = 1

      1 = 1

Hope this helps :)

Answer 2

Answer:

Yes the point (2,-1) is a solution of the system: 3x - y = 7 2x + 3y = 1

Step-by-step explanation:

(2,-1) = x = 2, y = -1

Now lets put these values in the given expressions

3x - y = 7

3 × 2 - (-1)

6 + 1

= 7 THIS EQUATION IS THE SOLUTION

2x + 3y = 1

2 × 2 + 3 × (-1)

4 - 3

= 1 THIS EQUATION IS THE SOLUTION


Related Questions

Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.

Answers

Here is one way to show that the left side is identical to the right side.

[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]

Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.

Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".

5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed​

Answers

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?

Answers

The 64 ounce bottle of orange juice would have the greater percentage of water (75%) while the bottle of apple juice has only 40%

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{1}{-3}[/tex]

Help on this algebra 2 question!!!!!!

Answers

Answer:

C.

Ax + 1 = x A + 1

Bx + 2 = x B + 2

Cx + 3 = x C + 3

A = x C + 3

B = x C + 3

C = x C + 3

I'm not really sure about the answer but i hope it helps

please help ill mark brainliest​

Answers

Answer:

it's 11

Step-by-step explanation:

look at picture for problem​

Answers

add 2 3/4 and 2 1/2 and you’ll get ur answer. area means total and when u see area, it means add

Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4

Answers

7 + 7 is actually 14 not 19 so that’s not true

Answer:

c.19 = 13 + 5

Step-by-step explanation:

Given f(x), match each expression to its correct value

Answers

Answer:

-11, f(-5)    1

Step-by-step explanation:

Number 1 is 2

Number 2 is 1

Number 3 is -11

Number 4 is 7

What you do is see the value of x in each question and see if it satisfies the requirement.
If x is less than -2(like in number 1), you substitute it into that equation and solve for x


If x is greater than or equal to -2(like in number 2,3, and 4), you substitute the value of x into the second equation.

Hope you understand!

I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.



3. How many times did Katrina run 1 mile?

Answers

Answer:

Katrina ran 1 mile 3 times! I hope this helps you!

PLz HELP ME NOW AND I WILL MARK U BRAINLIEST

Answers

Answer:

56

Step-by-step explanation:

cross multiply

0.06z - 0.36 = 3

0.06z = 3.36

z = 56

THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH

Answers

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?

Answers

Answer:

It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.

Step-by-step explanation:

To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes

(divide by 60 to convert to minutes)


32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.

Answers

Answer:

360 people

Step-by-step explanation:

[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]

Hope this helped! :)

A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm

Answers

Answer:

The area of real patio is 50m².

Step-by-step explanation:

Given,

Length of patio = 3 cm

Width of patio = 6 cm

According to scale =

3 cm = 5m

1 cm = \frac{5}{3}\ m35 m

6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m

Real length of patio = 5 m

Real width of patio = 10 m

Area = Length*width

\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}

Area=5∗10Area=50 m2

The area of real patio is 50m².

help wit this please

Answers

Answer:

1: Out: 5, 8, 11, 14

2: Out: 2, 7, 10, 11

3: Out: 11  Rule: Add 4

4: Out: 6  Rule: Add 4

pls solve this equation for brainliest 2a+2=8?​

Answers

Answer:

a=3

Step-by-step explanation:

you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again

Answer:

a=3

Step-by-step explanation:

Determine the value of cos 45 X 29


Answers

Answer:

20.50609665

around 20.506

Guys please i need help on this, i will give brainliest to the right answers

Answers

Answer:

3x + 3

Step-by-step explanation:

yeah-ya........ right?

I do not know how to do this​

Answers

Is there anything else or is that all the question

The dot product of u ∙ u = 45 what is the length of u?

Answers

Answer:

67 hah why you solve this

[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]

Round 743,214 to nearest ten thousand

Answers

743,214 rounded to the nearest ten thousand would be 740,000

the price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year?


please help me, thankyou

Answers

Answer:

From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value

changed at a steady rate of -6.4 points per hour.

You want to create an orange color in order to paint the Oriole’s Bird. You have the colors yellow and red to make the orange paint. The recipe for Oriole’s orange paint is 1/2 cup yellow paint to 1/4 cup red paint. Using this ratio:

Part 1: How much yellow paint do you need to combine with one cup of red paint?


Part 2: How much red paint do you need to combine with one cup of yellow paint?

Each snap cube represents 1/4 cup of paint.


Answers

Answer:

Adult males are flame-orange and black, with a solid-black head and one white bar on their black wings. Females and immature males are yellow-orange on the breast, grayish on the head and back, with two bold white wing bars

QD = 20000 -3P QS = 15000 +2P

Answers

The equilibrium price of the commodity at the given demand and supply is 1,000.

The given parameters:

Quantity demanded, QD = 20,000 - 3PQuantity supplied, QS = 15,000 + 2P

The equilibrium price of the commodity is calculated as follows;

At equilibrium price, the demand curve and supply curve cross each other.

[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]

[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]

Thus, the equilibrium price of the commodity is 1,000.

The complete question is below;

Determine the equilibrium price, if QD = 20000 -3P  and QS = 15000 +2P.

Learn more about equilibrium price here: https://brainly.com/question/22569960

How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

https://brainly.com/question/1115815

The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

What is simple interest?

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Data and Calculations:

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Learn more about simple interests at https://brainly.com/question/25793394

A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?

Answers

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Expand & simplify
(x +3) (x-3)

Answers

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

[tex]-2cos^{2} x-6sinx-1=0[/tex]
Please help!!
Thank you!

Answers

Answer;

Y= --2 cos (x)² --6 sin (x) --1

Domain x ER

Vertical intercept (0,--3

I solved it by graph and trust myanswer

like my answer and brainliest

Which equation is an example of the identity property of addition?
O A. 6.5 = 1
O B. 6+0= 6
O C. 6+(-6)=0
O D. 6.1= 6
HELPPP! ILL GIVE BRAINNLIST

Answers

Answer:

B.

Step-by-step explanation:

Adding 0 to 6 gives the same value (6).

Zero is called the Identity element of Addition,

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