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 ASAP!!!
A video screen is 16 in. by 12 in. tall. What is the width of the largest complete image possible for a photograph that is 2 in. wide by 3 in. tall?

Answers

Answer:

8

Step-by-step explanation:

12 ÷ 3 = 4

4 × 2 = 8

:) hope this helps

Answer:

The answer is is 8 inches.

Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.

Part I:
How much money will you save buying the iPad on sale?


Part II:
What is the final cost of the iPad when it is on sale?

Answers

part 1. is 90 dollars
part 2. is 360 dollars
Part 1: You save 360 dollars 450 x .20 equals 90 450-90=360 dollars
Part 2: 90 dollars is the amount you pay

Please help me it will be appreciated. The graph shown below represents a proportional relationship between the cost and the number of books purchased. What does the ordered pair (1,5) represent in the context of the problem?

Answers

Answer:

here go to quizlet it has the aswer for you

Step-by-step explanation:

can anyone help me please!! i dont get it (explain too)
MARKING BRAINLIEST

Answers

Answer:

i=

Step-by-step explanation:

HELP ME ASAP PLEASE?!?
Classify the following triangle as acute, obtuse, or right.

Answers

Answer:

obtuse

Step-by-step explanation:

hope it helps. :)

The following two right triangles are similar.If side PQ = 42, side LM = 28, and side QR = 24, what is the length of side MN?
Two triangles

Answers

16. i’m pretty sure cause the ratio would be 42/24 28/x if you divide PQ by LM, the answer is the same number you would use to divide LM to get MN and finish your ratios

Use the graph to solve the simultaneous equation y=7 - x and y=x - 1

Answers

Answer: [tex]x=4, y=3[/tex]

Step-by-step explanation:

[tex]\left \{ {y=7 - x} \atop {y=x - 1}} \right.[/tex],

[tex]7 - x=x - 1[/tex]

[tex]2x=8,[/tex]

[tex]x=4, y=3[/tex]

(a) An angle measures 45°. What is the measure of its supplement? (b) An angle measures 62º. What is the measure of its complement? ​

Answers

Answer:

Let the measure of an angle be x then the measure of the complement of the angle is 90 – x and the measure of the supplement of the angle is 180 – x. Example: Find the measure of the complement and supplement of an angle with measure (5x – 2)°.

Step-by-step explanation:

In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in.
Find the distance from L to AB
AND find the measurement of

Answers

Answer:

[tex]\overline {LD}[/tex] = 0.6 inch

m∠ABC = 60°

Step-by-step explanation:

The given parameters are;

The given triangle ΔABC = A right triangle

The angle bisector of ∠CBA = BL

The length of BL = LB = 1.2 in.

The length of LC = 0.6 in.

We have;

[tex]\overline {LB}[/tex] ≅ [tex]\overline {LB}[/tex] reflexive property

∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle

∠CBL = ∠DBL by definition of congruency

∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary

∴ ∠CLB = ∠CLB by addition property of equality

ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency

∴ [tex]\overline {LD}[/tex] ≅ [tex]\overline {LC}[/tex] Congruent Parts of Congruent Triangles are Congruent (CPCTC)

[tex]\overline {LD}[/tex] = [tex]\overline {LC}[/tex] = 0.6 in. by definition of congruency

[tex]\overline {LD}[/tex] = 0.6 in.

sin(m∠CBL) = Opposite side/(Hypotenuse side) = [tex]\overline {LC}[/tex]/[tex]\overline {LB}[/tex] = 0.6/1.6 = 1/2

m∠CBL = sin⁻¹(1/2) = 30°

m∠CBL = m∠DBL = 30°

m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°

m∠ABC = 60°

Need help ASAP ........

Answers

It’s Additive Inverse because it’s the opposite sign of the first term.

Answer: It's D.

Step-by-step explanation:

Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =

Answers

Answer:

c= 14-7i-zdi

d=14/zi - 7/z - c/zi

Step-by-step explanation:

Solve for c by simplifying both sides of the equation, then isolating the variable.

Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.

Here you go! Hope this helps

NEED YOUR HELP ASAP!!!!!

Carey correctly graphs a linear function. The slope of the functions is -1. The y-intercept is 3. Which is carey's graph?

Answers

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:


Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.

Answers

Answer:

4/18

Step-by-step explanation:

Given f(x) = x^3 - 5x^2 + kx + 4 and that x-2 is a factor of f(x), what is the value of k?
a. k = 0
b. k = -4
c. k = -2
d. k = 4

Answers

Answer : k = 4
please refer to the solution below :)
Either I’m being really dumb or this doesn’t work, x=2 because x-2 is a factor... the answer seems to be a lot larger than these

Pls help or else meh mom will be my bum D:
Alice, Dairon, and Ozzie went to the mall to shop for school supplies. Alice spent $14.25 on her supplies. Dairon spent $2.30 more than Alice spent. Ozzie spent two times as much money as much as Dairon spent. How much did Ozzie spend on school supplies?

Answers

It would be $4.60 because $2.30x2=4.60

Answer: 33.10

Explanation: 14.25 + 2.30 = 16.55 x 2 = 33.10

Help Asap!! Determine if the two triangles are congruent

Answers

The right answer I think is HL

Washington Middle School wants to collect more than 1,300 cans of food for a local charity. So far, they have collected 762 cans. Which inequality can be used to determine the number of cans, n, they need to collect each day for the next 4 days to meet their goal?

Answers

Answer:

762 + 4n > 1300

Step-by-step explanation:

Find the value of x in this equation.
2
2/5 (4x – 3) – 2x = 4/5 - x

Answers

Answer:

[tex] \huge \blue{x = \frac{10}{3} } \\ [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} (4x - 3) - 2x = \frac{4}{5} - x \\ [/tex]

Multiply through by 5 to eliminate the fractions

[tex]5 \times \frac{2}{5} (4x - 3) - 2x(5) = 5 \times \frac{4}{5} - 5x \\ 2(4x - 3) - 10x = 4 - 5x \\ 8x - 6 - 10x = 4 - 5x[/tex]

Simplify the terms

[tex] - 2x - 6 = 4 - 5x \\ - 2x + 5x = 6 + 4 \\ 3x = 10[/tex]

Divide both sides by 3

We have the final answer as

[tex]x = \frac{10}{3} \\ [/tex]

Hope this helps you

What is negative 38 plus 11?

Answers

Answer:

- 27

Step-by-step explanation:

Hope this helps

Answer:

-27

Step-by-step explanation:

help ya girl out please

-12 + x/5 = -16 ?

I need the steps to learn it ..!


Answers

Answer: X = -20

Step-by-step explanation:

-12 + x/5 = -16 ( What you do to one side you do to the other )

+12             +12 ( adding 12 to both sides)

x/5 = -4 ( gives us this )

5 (x/5 = -4)    ( I multiplied by 5 to remove the denominator of x )

x =  -20 ( get the answer )

The simplest form of 3/5 divided by 5/7

Answers

Answer:

Step-by-step explanation:

3/5 ÷5/7= 21/25

what is the length of BC in the right triangle below?

Answers

Answer:

The answer should be 15

Step-by-step explanation:


Can someone help me ? Please and ty

Answers

Answer:

A

Step-by-step explanation:

Answer:

Your solution is 1,1, so a.

Step-by-step explanation:

This is because the solution is always where the lines meet up.

A sticker has a length of 4 inches. If Gary places the stickers end to end, how many can he fit on a banner that is 12 feet long? ( 1 foot = 12 inches ) explain why thank you!!!!

A) 144
B) 38
C) 36
D) 42

Answers

Answer:

Step-by-step explanation:

12 feet *12 inches per foot= 144 inches

144/4=36 stickers

C
This is because first you would find out how many stickers are in ONE foot. in one foot there are 3 stickers. Since we know this we then see that the banner is 12 feet long. you would do 3x12 which would end up giving you 36. Hope this helped!

Kara paid a total of $155 to her gym. She has to pay a gym
membership cost $25 to sign up and $10 for each month. How
many months were purchased?

Answers

Answer: 13 months.

Step-by-step explanation:

25+10+10+10+10+10+10+10+10+10+10+10+10+10= $155

Answer this question very very fast first to have correct answer will get brainiest :)

Answers

Answer:

Option d.

Amelie read 30 pages of a book. she read 1/5 of the pages on monday. how many pages did she read on monday?

Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction

Answers

Answer:

B

Step-by-step explanation:

I just took the test

Answer:

A.

Step-by-step explanation:

PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!

There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters

1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates

2) what would the graph look like if one of the riders fell off their tricycle

Answers

Answer:

0u09u0u

Step-by-step explanation:

8

Find the product of the integers:
2(-4)=​

Answers

Answer:

-8

Step-by-step explanation:

a negative times a positive equals a negative

2 times -4 would be

-4 + -4 which equals -8

Answer:

-8

Step-by-step explanation:

The answer is kind of like multiplying positive numbers, but you add a negative sign. 2 times 4=8 and add a negative sign so -8.

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
A 10-pound mixture that would sell for $80?

Answers

Answer:

six plastic bricks and four wooden blocks

Step-by-step explanation:

plastic bricks=10

wooden blocks:5

lets make plastic x and wooden y

if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.

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