3) Solve this system of linear equations by elimination.

y=x-1
2x-y=0

*x=-1,y=-2
*x=1,y=2
*x=2,y=1
*x=-2,y=-1

Answers

Answer 1

Answer:

Solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Step-by-step explanation:

We are given equations:

[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]

We need to solve by Elimination method.

Elimination method: Add or subtract the equations to get an equation in one variable.

Rearranging the equation 1 we get

[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]

Add eq(1) and eq(2)

[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]

So, after eliminating y we get x=-1

Now finding y by putting x in eq(1)

[tex]y=x-1\\y=-1-1\\y=-2[/tex]

We get y=-2

So, solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.


Related Questions

Please help this is due today :)

Answers

The slope is 1/2
(Remember rise/run)
The full equation would be 1/2+1

The total charge on 4 particles is −36 units. All the particles have the same charge.

need asap What is the charge on each particle?

−9 units
−8 units
8 units
9 units

Answers

The answer is -9...........

Answer:

-9

Step-by-step explanation:

If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9

Hope this helps :) <3

-0.59x+0.39x=5.8 I need help

Answers

Answer: x = -29

Step-by-step explanation:

-0.59x+0.39x=5.8

Collect like terms

-0.2x = 5.8

Divide both sides of the equation by -0.2

x = -29

Response to user in comments:

-0.59+0.39=-0.2 that is a fact

-0.2/-0.2=1 that is a fact

5.8/-0.2= - 29 that is a fact

These are the facts about the steps of the equation. Solving Steps for Solving the Equation

Simplify (1/2)4. Plz answer fast

Answers

Answer: 2

Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.

An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
$2
$6
$10
$14

Answers

Answer:

6 dollars i think

Step-by-step explanation:

Answer:

Gio will save about $6.

Step-by-step explanation:

You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6

Finding angles in measures using triangles

Answers

you can use this for help:

the interior angles of a triangle add up to 180°

So, Angle I + angle H + angle x =180°

60°+56°+x°=180°

116°+x°=180°

X=180-116

X=64°

Please help!! I have to find x and y!!

Answers

Answer:

X= 17.5

Step-by-step explanation:

the outside of the triangle always = 180

so you need to add up all the sides and equal to 180

5x+35+x+5+2x=180

add like terms

8x+40=180

get the x alone

x=17.5

Mass = 65 kg
Acceleration = 0.3 m/s2
Force =

Answers

Answer: 19.5 N

Step-by-step explanation:

Answer:

The answer is 19.2N

Step-by-step explanation:

F=m a

F=64*0.3=19.2N

A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answers

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

WILL GIVE BRAINLIEST

WHAT IS 2+2

RIGHT AWNSER WINS/ HINT 4+18

Answers

Answer:

2+2=4

4+18=22

Step-by-step explanation:

WILL MARK BRAINLIEST!!! Can someone help me wit dis question?

Given y = 9x - 4, what is the y-intercept?

a.) 4
b.) -4
c.) 9

Answers

Answer:

B.) -4

Step-by-step explanation:

y=mx+b

b is equal to the y-intercept.

Answer:

-4

Step-by-step explanation:

The slope intercept form is y = mx + b.

m = slope

b = y-intercept

since b = -4, the y-intercept is -4

Can someone please please help me. ?????

Answers

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length?

Answers

Answer:

7488 inches

Step-by-step explanation:

I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.

The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Area of the leftover sheet = 72  × 104 = 7488 inches²

area of the square = 7488
a² = 7488
a = 86.53

Somehow, for  the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²

Thus, the required maximum area of the biggest possible square be with sides of whole number length  7396 inches².

Learn more about the surface area here:

https://brainly.com/question/2835293

#SPJ2

Please answer for a and b

Answers

Answer:

a

Step-by-step explanation:

a

Answer:

Step-by-step explanation:

a can't be an integer

8/√2 doesn't reduce to an integer. It will give you 4*√2 * √2/√2 = 4√2

-√18/√2 = -√(3*3*2)/√2 = -3(√2)/√2 = -3

At best you will get 4√2 - 3

a = 4√2

b = - 3

Edit

b is correct. the answer for b = -3

a  can't be done giving an integer answer. My best guess is 4 but that is not the correct answer.  You could write it as (4 - 3)√2

My advice to you is to present it to your instructor and see what he/she comes up with.

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Trigonometry

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

https://brainly.com/question/24349828

What are the stages of asthma? Which is worse?

Answers

Answer:

Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.

Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.

Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.

Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.

Step-by-step explanation:

Answer:

bop

Step-by-step explanation:

Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

b. The system is an independent system.

c. The graphs of the two equations would intersect at the point (0,3).

Answers

Answer:

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

Step-by-step explanation:

The system resulting in equation 0=3 means:

There is no solutionThe lines are parallel as no intersection

Correct choice is:

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

180 students brought their lunch to school on Thursday

Step-by-step explanation:

We are told that out of 900, 5% of the students brought their lunch to school everyday

So the number that brought their lunch on Thursday will be;

5% of 900

= 5/100 * 900 = 180

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit

Answers

Answer:2x-5y=-15

Step-by-step explanation:

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?

Answers

Answer:

k=7

Step-by-step explanation:

when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.

Help me please!?!?!?!?????

Answers

Answer:

1

Step-by-step explanation:

What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

Choose 3 values that would make this inequality true. 9 - n ≥ 4

Answers

Answer: Could be 0,1,2,3,4,5

Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.

Please help me out!​

Answers

I don’t even know sorry I will try and help out next time

*15 points* any help would be appreciated plz

Answers

Answer:

70 degrees because all of the angles in a triangle add up to 180 degrees150 degrees because the adjacent angle is 30 degrees110 degrees because the adjacent angle is 70 degrees50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degrees

Step-by-step explanation:

I hope this helps!!!!

In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?

Answers

Answer: The measure of the middle angle = 52°

Step-by-step explanation:

Let x = Smallest angle.

largest angle = [tex]3x-32[/tex]

Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]

Sum of all angles in a triangle is 180 degrees.

So, Smallest angle+ largest angle+ Middle angle = 180°

[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]

Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]

[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]

Hence, the measure of the middle angle = 52°

ill mark brainlest if right

Answers

I’m not sure but maybe A and C

Answer:

I am super sure its A and C

Hope this helps :D

Please do for me thank you I am

Answers

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500

What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?

Answers

Answer:

270°

Step-by-step explanation:

We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.

Our equation would be: 360 ÷ 12 = 30

3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.

9 · 30 = 270, so our angle is 270°

I hope this helped, please mark Brainliest, thank you!

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