Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Answers

Answer 1

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

Hence we can say the equation has One and only one solution since we have just a value for x and y


Related Questions

What is the first step to solving the division problem below?


Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.

Answers

Answer:

divide 15 into 82 to get 5 is the first step

Step-by-step explanation:

Answer:

The answer is A, ¨Divide 15 into 82 to get 5.¨

Step-by-step explanation:

Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye

The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?

Answers

N nxhdhshsjshfjfjrjr

Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.

How can you use your equation to find the cost of 6 pounds of cashews?

Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.

Please reply quickly thanks : )

Answers

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

Harry bought 25 pens for 1.00. Find the unit rate

Answers

Answer:

4 cents

Step-by-step explanation:

1.00 divied by 25 =0.04 aka 4 cents

The answer is 4 cents because when you divide 1.00 by 25 it equals to 00.4 if you want a picture of the work her you go :)

Hope this helps :)

Is a²b the same thing as ba² ?

Please explain. Thanks so much!

Answers

a²b is the same thing as ba²

b and a are two separate variables lets pretend a is 2 and b is 3

2² * 3 = 4 * 3 = 12

3 * 2² = 3 * 4 = 12

this is the commutative property of multiplication

An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.

Therefore, the two expressions are expanded as shown below,

a²b = a × a × b

ba² = b × a × a

Therefore, the two of the given expressions a²b and ba² are the same.

Learn more about Expression here:

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) Nadia wants to draw a scale diagram of the garden. The garden is rectangular and measures 1350 cm by 1000 cm Nadia says, “If I use a scale of 1 cm to 50 cm, the drawing will fit on a piece of A4 paper”. A4 paper measures 297 mm by 210 mm Is Nadia correct? Explain how you decide

Answers

Answer:

Nadia is correct

Step-by-step explanation:

Dimensions of the diagram:

Length ⇒ 1350/50 = 27 cmWidth ⇒ 1000/50 = 20 cm

Nadia is correct as the diagram of 27 cm × 20 cm will fit in A4 paper

Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.

Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1

Answers

Answer:

Step-by-step explanation:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?

Answers

Answer:

10 apples and 4 bananas

Step-by-step explanation:

x + y> 12. 5 x + 7y <80

Answer:

Step-by-step explanation:

Jason drove 110 miles in 2 3/4hours. What was Jason’s speed in miles per hour?

Answers

Answer: His MPH is 40

Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.

Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)

Answers

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

4 5/6 x 2/5 what is this answer

Answers

Answer:

[tex]1\frac{14}{15}[/tex]           or exact form [tex]\frac{29}{15}[/tex]

Step-by-step explanation:

Um bc im trap bunny bubbles

What is the missing length of a right triangle that has a length of 7 and width of 3

Answers

Answer:

Can u name the sides properly and which side needed. Write it. More specific plz

Plz help me I’m stuck plz

Answers

Answer:

ok step bro are you stuck let me help

An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.

Answers

Answer:

the set of parametric equation would be x(t) = 0.25t, y = 0.43t

Step-by-step explanation:

The computation of the set of parametric equation would be

x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t

x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t

x(t) = 0.25t, y = 0.43t

Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t

The same is to be considered

The above equation represents the answer

For the entire practice:

1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]

2) B, 4 ft.

3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m

Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....

Answers

Answer:

-8n+64

Step-by-step explanation:

I need help with these four questions.

Answers

This is confusing for
Me

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
If the triangles are similar, write a valid similarity statement.​

Answers

Answer:

the AA~ congruency could be used, because

angle w=y,

angle t=z

and angle x is common

Step-by-step explanation:

That was my answer and I got it right :)

The given triangles are not similar.

What is similarity of triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given a figure of two triangles, ΔWXT and ΔYXZ

Here,

28/35 ≠ 30/38

WX/YX ≠ XT/XZ

We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.

Hence, The given triangles are not similar.

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5. If AABC = ADEF, find the measure of

Can someone explain me?

Answers

Answer:

Option A) angle B = 67°

Step-by-step explanation:

I'll use " [ " symbol for saying angle.

Alright so ...

since triangle ABC and triangle DEF are congruent

it means [ A = [ D

[ B = [ E

[ C = [ F

here [ A = 78° (which means [ D is also 78°)

and ..[ F = 35° (which means [ C is also 35°)

-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..

you write.. [ A + [ B + [ C = 180° (angle sum property)

78° + [ B + 35° = 180°

113° + [ B = 180°

[ B = 180 - 113

= 67°

I hope that clears the concept , if you have any questions regarding it I'd love to help .


Solve this system of equations using elimination. Write your answer as an ordered pair,
5x-2y = 10
4x + 2y = 8

Answers

Answer:

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Step-by-step explanation:

We need to solve the system of equations using elimination method.

[tex]5x-2y = 10\\4x + 2y = 8[/tex]

Let:

[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]

Add both equations to eliminate y and find value of x

[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]

We get value of x=2

Now, finding value of y by putting value of x in eq(1)

[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]

We get value of y= 0

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Answer:

the answer is C

Step-by-step explanation:

Which measure is not the area of a circle with radius 20 mm?

Answers

Answer:

C

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

.
A Survivorship Life Insurance Plan insures how many people under one plan?

Answers

Answer:

the whole world

Step-by-step explanation:

please help me, it’s asking what the constant rate of change, if it’s possible.

Answers

-3

Have an amazing day~

the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x

Answers

Answer:

L = 3x cm

Step-by-step explanation:

For this problem, let's consider the relation that is stated:

Length is 3 times as much as the width.  The width is x cm.

Mathematically we can say the following:

L = 3W

W = x cm

So we can say the following about the length:

L = 3W

L = 3(x cm)

L = 3x cm

Cheers.

Three concert tickets cost $27. At this rate, what is the cost per ticket?

Answers

Hello.

To find this, divide the cost per amount.

In this case, the cost of the tickets is $27, and the amount is 3.

Divide 27 by 3.

27 / 3 = 9

Each ticket costs $9.

Answer:

$9 per ticket

Step-by-step explanation:

all you do is divide 27 by 3 and get 9

The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?

Answers

4 years, just like what the other person said he is right. because 9% of population is 1800

It will take approximately four years for the population to be fewer than 13,000.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The population of the town is 20.000. It decreases at a rate of 9% per year.

The population of the town decreases by 20,000 × 9% = 1,800 people per year.

To determine how many years it takes for the population to fall below 13,000, you can use the formula:

= (20,000 - 13,000) / 1,800

= 3.88 ≈ 4 years

So, it will take approximately 4 years for the population to be fewer than 13,000.

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I don't get this find all missing angles what does it mean how do I do it

Answers

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Find the measures of the interior angles.

Answers

Answer:

x = 13

Step-by-step explanation:

154 + 13 = 167

so 180 minus 167 and you get 13

all interior angels of a tringel should add up to 180

The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3

Answers

C I’m pretty sure hope this helps

GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.








Which of the following points represents the largest number?


P

M

J

H

Answers

The answer is p , merry Christmas
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