What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?

Answers

Answer 1

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = 3 → (1)

x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (1)

2x - (3 - x) = 3

2x - 3 + x = 3

3x - 3 = 3 ( add 3 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into (3) for corresponding value of y

y = 3 - 2 = 1

Solution is (2, 1 )


Related Questions

8 + 3m = 26 what is thissssss

Answers

Answer:

m=6

Step-by-step explanation:

Subtract 8 from both sides.

then divide both sides by 3 to get 6.

Hope this helps!

If a football player lost a total of 66 yards in 11 plays, how many yards on average did he lose each play? Express this loss as an integer.

-

Is it 6 or -6?

Answers

-6 since it’s a loss
i think it’s 6 because you can’t loose negative plays

A truck is 180 inches long. A car is 30% shorter than the truck. How long is the car?

Answers

the car is 54 inches long.

I need help my teacher didn’t even explain how to do this

Answers

Answer:its b

first off its a straight line ill give it that but its not going through the origin is think its b

hoped this helped lmk if it did

Which of the following is the lowest cost per can?
A. 3 cans of juice for $3.80
B.
5 cans of juice for $6.15
C.
8 cans of juice for $9.52
D.
12 cans of juice for $14.58

Answers

Answer:

The answer is C. 8 cans of juice for $9.52

Step-by-step explanation:

A. About $1.27 per can

B. $1.23 per can

C. $1.19 per can

D. About $1.22 per can

According to the calculations, 8 cans of juice for $9.52 is the lowest cost out of the four answer choices.

!00 points and Brainliest plzzzz help, I will report false answers though

Answers

Answer:

4x+y=17 that the answer  

Step-by-step explanation:

Answer:

-4x-17=y

Step-by-step explanation:

Distribute the -4 into the parenthises. Then subrtract the 1 from both sides.

EL HFG es un triangulo isosceles. El angulo H
es el angulo del vertice
EL HG eš=3X -5, FG =×-1 y HF=×+7 Encuentra el valor de x y las medidas de HG,FG, y HF

HE
y​

Answers

Answers:you wrote it wrong so I can’t understand

A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the
current of the river. What is the speed of the boat and what is the current of
the river?

Answers

The speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

A boat goes 24 miles at a constant speed in 4 hours against a river current.

It takes the boat 3 hours to go the same distance at the same speed with the current of the river.

Let's suppose the speed of the boat is x miles/hour and the current of the river is y

x- y = 24/4

x - y = 6 ..(1)

x + y = 24/3

x + y = 8  ..(2)

Adding equation (1) and (2):

2x = 14

x = 7 miles/hour

y = 8 - 7 = 1 miles/hour

Thus, the speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

all you need is in the photo
answe fast pleaseee ​

Answers

Answer:

just divide them

Step-by-step explanation:

Answer:

m = 810 movies

Step-by-step explanation:

6,840 = 3(1740) + 2m

6,840 = 5,220 + 2m

Subtract 5,220 on both sides

1,620 = 2m

Divide each side by 2

m = 810

Twelve waters cost $9. How many can you buy with $3?

Answers

Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

please please help

The rectangular patio shown in the diagram below is enclosed on three sides by a fence.
Patio
w
House
The area of this patio is no more than 400 square feet. The total length of the three sides of
this fence is no more than 60 feet. Which system of inequalities can be used to find values of
1, the patio's length, and w, the patio's width, that will satisfy these conditions?

Answers

Answer: A

i had looked up another question on my quiz thing and an old staar test popped up and this was one of the questions with the answer, i also had this question on my quiz.

Pls help it’s not that hard

Answers

Answer:

what is the question

Step-by-step explanation:

???????1huhuh

Lindsay logged how many miles she ran so far this week. Lindsay ran 4.25 miles on Monday,4 3/8 miles on Wednesday, and 4 1/5 miles on Friday. How many miles did Lindsay run on Monday, Wednesday, and Friday? ​

Answers

Answer:

,,, hehe

Step-by-step explanation:

WHICH OF THE FOLLOWING REPRESENTS A NON LINEAR EQUATION

Answers

Answer:

y = 3/x

Step-by-step explanation:

(Geometry) Determine the relationship between the two given lines:

Y=-2x+8

Y=-2x+5

a. Perpendicular because slopes are equal

b. These slopes are neither perpendicular nor parallel

c. Parallel because slopes are equal

d. Parallel because slopes are opposite reciprocals

e. Perpendicular because slopes are opposite reciprocals.

Answers

Answer: C) Parallel because both slopes are equal

Reasoning: If you were to graph both slopes, the lines will be parallel.

3(2x + 4) + 2(x-2)
Match the equivalent expressions

Answers

Answer:

3(2x+4)+2(x-2)

6x+12+2x-4

6x+2x+12-4

8x+8

I am from grade 9 from which grade are you

what's the definition of electrolysis​

Answers

Answer: chemical decomposition produced by passing an electric current through a liquid or solution containing ions. In chemistry and manufacturing, electrolysis is a technique that uses direct electric current to drive an otherwise non-spontaneous chemical reaction. Electrolysis is commercially important as a stage in the separation of elements from naturally occurring sources such as ores using an electrolytic cell. Electrolysis is used in industry for the production of many metals and non-metals (e.g., aluminium, magnesium, chlorine, and fluorine). Electrolysis is commonly employed for coating one metal with another. The method of coating one metal with another using an electric current is called electroplating.

Hope this helps....... Stay safe and have a Merry Christmas!!!! :D

Plz help!!
Will give brainliest

Answers

67x+90/10 < simplified
The answer is B because you have to multiply the numbers that are in front of the paréntesis to the numbers in the paréntesis. Then move X to one side.

which equation is equivalent to x2+7x+12/ x2-x-12

Answers

Answer:here try both of these

x=4

x=3

Step-by-step explanation:

What is the area, in square meters, of the rhombus above?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.

Pls answer this is urgent

Answers

Answer:

9 hours

Step-by-step explanation:

12 times 9 equals 108

108 - 9 equals 99

Rogelio's pay for working part-time at his father's
shop was $24.25, $26.25, $23.50, $32.55, $28.35,
$30.80 and $27.50. What is the median of his
νησος 2 ?

Answers

Answer:

The Median of all these numbers is $32.55

Step-by-step explanation:

Find the solution set for 8x - 3 = 2(x - 1/2)​

Answers

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8x - 3 = 2(x - 1/2)

Step 2: Solve for x

Distributive 2:                              8x - 3 = 2x - 1Subtract 2x on both sides:         6x - 3 = -1Add 3 to both sides:                   6x = 2Divide 6 on both sides:              x = 1/3

6 and 3 fourths plus 3 and 1 eighth
what is the answer?

Answers

Answer:

[tex]9\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} + 3\frac{1}{8}[/tex], You have to make it so they have a common denominator

[tex]6\frac{6}{8}+ 3\frac{1}{8}[/tex]

This would make the answer

[tex]9\frac{7}{8}[/tex]

social experiment in herd socialization. if your best friend did what? would you follow select the one that has to do with herd social.
A. Says thank you to her mom
B. does a bahhhhhhhhhhhhd thing
C. join a school they arent going to because its fun
D. Remove them from instat because they talked sad about sheep
choose wisely no redos this is %20 of your grade

Answers

C I believe is the correct answer

PLS HELP LAST ONE I NEED ILL MARK U BRAINLIEST

Answers

combine the likes terms into
4x+1-9x+6
-5x+7

mark me brainliest if the answer is correct, thank you in advance :)

In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2

p(x)=(2x^2-9x+7)(x-2)

Answers

Answer

Answer:

p(x)=(2x²-9x+7)(x-2)

=(2x²-2x-7x+7)(x-2)

=[2x(x-1)-7(x-1)](x-2)

=(x-1)(2x-7)(x-2)

Can someone help me with this

Answers

>2 is also 40° since that is the rule of corresponding angles

Answer: <2 is 40 degrees still.

Step-by-step explanation:

Both Angle 1 and Angle 2 are corresponding angles (aka Same Side Angles)

Solve the equation 14=-(x-8)

Answers

Answer:

x = -6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

14=-(x-8)

14=−x+8(Distribute)

flip equation:

−x+8=14

Subtract 8 from both sides

−x+8−8=14−8

−x=6

divide by -1 both sides

x=-6

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