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

Which is equivalent to the expression below for a +5 minus a +2

Answers

Answer:

3

Step-by-step explanation:

Positive 5 minus 2 positive its just simple subtraction.

The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 123. What are their ages? Show work.

Answers

Answer:

Ellie's age is 41, Edna's age is 40, Elsa's age is 42

Step-by-step explanation:

Let Ellie's age be x. Because they're consecutive integers, Edna's age is x-1 and Elsa's age is x+1. Therefore, 3x=123, x=41, so Ellie's age is 41, Edna's age is 40, Elsa's age is 42

Answer:

Edna is 40, Ellie is 41 and Elsa is 42.

Step-by-step explanation:

let Edna be m years old

m - Edna

m+1 - Ellie

m+2 - Elsa

m+m+1+m+2=123

Collect like terms

3m+3=123

3m=123-3

3m=120

Divide through by 3

m=40

Therefore, Edna is m=40 years old

Ellie=m+1=41 years old

Elsa=m+2=42 years old.

Which of the following shows the prime factorization of 200 using exponential notation?​

Answers

Answer:

As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200.

Use square roots to solve the equation x ^ 2 = - 25 over the complex numbers. Select any solutions that apply A.-5 B. -5i C. -5i^2 D.5i

Answers

Answer:

B. [tex]-5i[/tex]

D. [tex]5i[/tex]

Step-by-step explanation:

Remember that the imaginary unit is equal to:

[tex]i^2 = -1[/tex]

And getting the square root in both sides of the equation we get:

[tex]i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}[/tex]

The with our expression we develop of the next way:

[tex]x^2 = -25\\x = \sqrt{-25}[/tex]

However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.

[tex]x = 5i \quad \land \quad x = -5i[/tex]

In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:

B and D

HELPP! PICTURE ATTACHED

find f(2)​

Answers

Answer:

f(2) =  Unidentified

Step-by-step explanation:

f(2) = ((2) +4)^2/(2)^2+2(2)-8

We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.

Find the common factors of the algebraic expression:- 7a²b, 14abc


please help me please it's important​

Answers

factor of 7a²b, 14abc

7a²b, 14abc= 7ab

Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour

Answers

Answer: Bruce's speed is 3.75 mph(miles per hour).

Solve the following system of equations.
y = 2x + 1
y = x2 – 5x + 7

Answers

The solution of the system of equation is (6, 13) and (1, 3).

How to solve system of equation?

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 =  x² - 5x + 7

x² - 5x + 7 - 2x  - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

learn more on system of equation here:https://brainly.com/question/20023128

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Pls look at the picture for the question.

Answers

Answer:

10

Step-by-step explanation:

each tick mark is worth 5

there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.

4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

PLEASE HELP! Look at the image and please help me

Answers

Answer:

Step-by-step explanation:

its b

In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.

Answers

i don’t believe you attached any pictures to this question so i don’t know exactly what kinds of different servings you want, however some examples would be

water:fruit
3:4
6:8
9:12

and such other multiples

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

What is a ratio?

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

Learn more about ratios and proportions here:

https://brainly.com/question/26974513

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state whether each of the following equations represent growth or decay.

Answers

Answer:

ehhh Pfouto math ni

dali raka AA yooo

if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter​

Answers

How much is the shelter?

6w+8+4w-3=_w
What’s the awsner

Answers

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

someone help me with my assignments

Answers

Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

Answers

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

The term laissez-faire refers to an economic system that is characterized by

A. public ownership of the basic means of production

B. equal distribution of goods and services to all citizens

C. little governmental involvement in business and financial matters

D. government planning for production of consumer goods

Answers

Answer:

Answer: C.

Step-by-step explanation:

the term laissez faire refers to the economic policy of letting owners of industry and business set working conditions without interference

what’s the domain and range of this graph ? PLEASE HELP URGENT

Answers

Step-by-step explanation:

Domain -5 range 5 ,...............

Can someone help me with his I will mark u brilliant

Answers

Answer: 1260 books

Step-by-step explanation:

2/5=0.4

19000x0.4=7600

12500x0.4=5000

7600+5000=12600

1/10=0.1

12600x0.1 = 1260

/Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

There is a line that includes the point (1,6) and has a slope of 4. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=4x+2

Step-by-step explanation:

So we start with the slope, which is bad.

But I have an idea

lets write it as

y=4x+? and since x=1 and y=6

6=4+?

Therefore, the y, intercept must be two

Answer:

y=4x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=4(x-1)

y=4x-4+6

y=4x+2

(-3,5) (3,7)
What is the slope of AB ?

Answers

The slope is : 1/3
Ok done. Thank to me:>

are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?

Answers

Answer:

the first number is 75 and the second number is 100

Identify the slope and y-intercept of the line 4x + 2y < 3.

Answers

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

if Jenny buys 2 8-inch di|dos for 8$ then what is the total price

Answers

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

1) -4/3
2) -3/4
3) 10/17
4)17/10

Answers

Answer:

boom bam ba boom bam ba

Answer: -3/4

Step-by-step explanation:

The y value is decreasing by -0.75

-3.75 - 0.75 = -4.5

-4.5 - 0.75 = -5.25

-5.25 - 0.75 = -6

ect.

-0.75 in fraction form is -3/4

what is the value of x in m(x+n)=n​

Answers

The equation m(x + n) = n​ si solved for x will be given as x = n / m (1 - m).

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

m(x + n) = n​

By simplifying for x, then we have

x + n = n / m

     x = n / m - n

     x = (n - mn) / m

     x = n / m (1 - m)

More about the linear system link is given below.

https://brainly.com/question/20379472

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solve the graph fjsdjshfdkjfd

Answers

Answer:

y=-2x+3

Step-by-step explanation:

Comment if you need steps.

State if the two triangles are congruent. If they are state how you know.
Help me

Answers

Answer:

not congruent

Step-by-step explanation:

The two triangles have a common side. That makes 1 pair of congruent sides.

The triangles have another pair of congruent sides that is shown.

There is also 1 pair of congruent angles.

Since there is no SSA method of proving triangles congruent, the answer is the first choice:

not congruent

A straight line has the point (4, 2) and has the slope 1. What is its y intercept?

Answers

Answer:    -2

================================================

Work Shown:

m = 1 is the given slope

The point (x,y) = (4,2) is on the line

Use slope intercept form to find the y intercept

y = mx+b

2 = 1*4 + b

2 = 4 + b

2-4 = b

-2 = b

b = -2 is the y intercept

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