What is the solution for the system of equations?
y = -x +4
y = x- 2

• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)

Answers

Answer 1

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1


Related Questions

can you please answer this question asap
x-1/3-x+3/4=-1

Answers

= -1
It has no solution

The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]

The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;

[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]

Collect like terms

[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]

[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]

-4(x - 1) = -7(3 -x)

-4x + 4 = -21 + 7x

4x -7x = -21 - 4

-3x = - 25

[tex]\mathbf{x= \dfrac{25}{3}}[/tex]

[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]

Learn more about evaluating fractions here:

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5 : 1/3 in its simplest form

Answers

Answer:

15 : 1

Step-by-step explanation:

5 : 1/3

Multiply both numbers in the ratio by 3.

5 × 3 : 1/3 × 3

15 : 1

[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]

ok done. Thank to me :>

A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.

Answers

A reservation measure the length of some people lizards she found in a field

can someone help me with this problem!
__ + (4) = -1
whats the missing number
( I swear I'm smart lol)

Answers

-5 I think

Ignore this this is just for 20 words

Help me please just help I need help rn like rn

Answers

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

what triangle does the pythagorean theorem relate to

Answers

Answer:

Right Triangle

Step-by-step explanation:

I hope this helps!

A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.

What is the solution to the system of equations?

A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)

Answers

Step-by-step explanation:

the answer I think D should be

Answer:

The answer is (2,0)

Step-by-step explanation:

We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).

For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.

As we can tell it crosses over points (2,0) making this equation having exactly one solution.

Making the correct awnser D; (2,0)

HELP PLSSSS ILL REWARD BRAINLIEST!!!

Answers

To find angle BCD, find the angle ACB that lies next to it on the straight line first.

Angles in a triangle add up to 180.

To find angle ACB:
180 - 83 - 47 = 50

So angle ACB = 50.


Angles on a straight line add up to 180 as well.

So to find angle BCD:
180 - 50 = 130

So angle BCD = 130, so the answer is D.

[tex]\sf 8x+12-8x+15+15x-22-x[/tex]

Answers

Let's get it done !

[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex]

[tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex]

[tex]14x + 5[/tex]

Answered by : " Unknown "

When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4

a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?

Answers

Answer:

its b

Step-by-step explanation:

Lena ran in a 340-meter race.About how many feet did she run?

Answers

Answer:

1115.49 feet

Step-by-step explanation:

To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.

340*3.281= 1115.49

In the equation 2x + 3y = 19, what is the constant?

Answers

Answer:

  19

Step-by-step explanation:

The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.

_____

Additional comment

In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.

a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6​

Answers

Answer:    1/3

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

Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3

⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.

Answers

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

pleaseeee help??????​

Answers

A is the associative property of addition

will give brainliest Select the correct locations on the graph

Select the lines that represent functions.

Answers

Where’s the image at?

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look

Answers

Answer:

≈ 98.7

Step-by-step explanation:

What you want to use is Pythagorean Theorem

96 squared + 23 squared = c squared

≈ 98.7

Anthony sold 45 tickets to the school play and Katy sold 40 tickets. What is the ratio of the number of tickets Anthony sold to the number of tickets Katy sold? A 9:8 B 40:45 C 5 to 8 D 8 to 9​

Answers

Answer:

the answer to your question is B 40:45

Step-by-step explanation:

Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)

Answers

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

Answer:

2w^2 - 9w - 5

Step-by-step explanation:

I got it right in Grandpoint.

The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid

Answers

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)

Answers

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

What is the slope of the line that passes through the point (-4,-4)and (6,4)?

Answers

Answer:

slope = 0.8

Step-by-step explanation:

HOPE THIS HELPS :)

How does a plastic fork, whale, hospital and chocolate bar relate with each other?

Answers

Answer:

They all include the letter A

Step-by-step explanation:

what is the answer to (x-2)^5 ?

Answers

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

estimate the area of the following irregular shapes
will give brainliest​

Answers

Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.

Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow

Answers

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

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4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.

Answers

Answer:

x = 1.5 , y = 2.5

Step-by-step explanation:

4x + 5y = 18.5 → (1)

2x + 4y = 13 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 4x - 8y = - 26 → (3)

add (1) and (3) term by term to eliminate x

- 3y = - 7.5 ( divide both sides by - 3 )

y = 2.5

Substitute y = 2.5 into either of the 2 equations and solve for x

Substituting into (1)

4x + 5(2.5) = 18.5

4x + 12.5 = 18.5 ( subtract 12.5 from both sides )

4x = 6 ( divide both sides by 4 )

x = 1.5

Solve X 4x+5y=18.5 Solve Y

4x+5y=18.5 move the 4x+5y=18.5
to the right Divide side by 5
4x=18.5-5y Divide by 4 5y=18.5-4x
5 4
X=4.625 - ——y y=3.7 - ——x
4 5

HELP ! Will give brainliest

Answers

Answer:

look it up thats what i do

Step-by-step explanation:

1 is increasing because its going up, 2 is constant since it doesn’t move anywhere, 3 is decreasing because its going down , 4 is constant not moving anywhere like 2 and 5 is decreasing going down graph is non- linear

show your solution 5x + 12 =42

Answers

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

x = 6

Step-by-step explanation:

5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Joseph removes 5/8 gallon of white paint from a can.
Then he adds 5/8 gallon of blue paint to the can.
Write and evaluate an addition expression to find
the overall increase or decrease in the amount of
paint in the can.

Answers

Create the expression from the data:

The gallon of paint begins as a whole: 8/8

Then he removes 5/8 gallons of paint from the can: - 5/8

Then he adds 5/8 of a different colored paint to the can: + 5/8

Now combine:

8 / 8 - 5 / 8 + 5 / 8 = 8/8

The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.

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