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

URGENT‼

The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:

I. 10 yards
II. 44,880 feet
III. 15,560 yards

Which run(s) are at least 15 kilometers?

Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III

Answers

the answer to this problem is B, I just converted the value to km

The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228

What is kilometer ?

"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."

Given,

(i) 10 yards

1 yard = 0.0009144

then 10 yard = 10*0.0009144 = 0.009144 km

(ii) 44,880 feet

1 feet  = 0.00030478

then 44,880 feet = 44,880*0.00030478 = 13.678 km

(iii) 15,560 yards

15,560 yards =  15,560 *0.0009144 = 14.228 km  

Hence, D is the correct option.

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Question 6
Given h(x) = -8(x - 5), what is the value of h(-6)?
Previous

Answers

Answer:

h(-6) = 88

Step-by-step explanation:

h(-6) = -8(-6 - 5)

       = -8(-11)

       = 88

Plzz I need help due today!!!!

Answers

A is increasing , b is maximum , c is decreasing, and d is minimum

PLEASE HELP. Write the equation in slope-intercept form for the line that contains the points
(3,-5) and (5,- 1)
a. y = 2x + 11
b. y = 2x + 1
c. y = 2x - 11
d. y = 2x - 1

Answers

Answer:

y=2x-11

Step-by-step explanation:

h*es on me left and..

Answers

Answer:

gl*ck 9 put em out like a light

Step-by-step explanation:

Coupe tinted like a thief in the night

i just wanted to make sure my answers are correct could someone tell me if they are or not correct or tell me which ones are wrong?

Answers

14. Is B

16. Is B

correct

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot

Answers

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

HELPP PLEASEE!!

three times the sum of a number and 9 is 8

use the variable W for the unknown number

Answers

Good luck on it I hope you find your answer.

NEED HELP ASAP!!!!!!!!!

Answers

ANSWER

16

Explanation: all angles are 60 which is an Equilateral triangle meaning all three sides of the triangle are equal.

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8

Answers

Answer:

x = -2, x = 6

Step-by-step explanation:

18 = 3|x - 2| + 6

12 = 3|x - 2|

4 = |x - 2|

4 = x - 2    and    -4 = x - 2

x = 6    and    x = -2

Answer:

C

Step-by-step explanation:

x = -2    x = 6

got it right on EDGE

On a park ma, the ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?

Answers

Answer: [tex]1.0308\text{ miles}[/tex]

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4) .

Distance between ranger station and nature center

[tex]\sqrt{(2.5-0.5)^2+(3.5-4)^2}=\sqrt{2^2+(-0.5)^2}\\\\=\sqrt{4+0.25}\\\\=\sqrt{4.25}\\\\=2.0616\text{ units}[/tex]

Each unit in the map is equal to 0.5 mile.

Hence, Distance between ranger station and nature center  = [tex]2.0616\times0.5=1.0308\text{ miles}[/tex]

Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =

Answers

Answer:

we have:

u(1) = 18

u(2) = 21 = 18 + 3

u(3) = 24 = 18 + 3.2

u(4) = 27 = 18 + 3.3

.......

=> the sequence has: u(1) = 18

                                    d = 3

=> u(n) = 18 + 3(n - 1) = 3n + 15

so the recursive formula for the sequence is u(n) = 3n + 15

Step-by-step explanation:

please help just download the document, try to complete it and make a question adressing it to me please

Answers

the picture is blank :(

1 2 3 5 6 7 8 10 TIME REMAINING 01:51:26 The function f(x) is shown on the graph. What is flo)? y у O 12 only -15 flx) 0 2 and 3 only O-2, -1, 1, and 2 only 0 -2, -1, 1, 2 and 12 9+ 3 -7 6 5 4 3 2 +1 4 5 6 7 X 3 6 + -9 -12+ -15-​

Answers

Answer: 12 only

Step-by-step explanation:

The value of f(0) from the graph of f(x) is (a) 12 only

What are functions?

Functions are used to represent graphs, equations, ordered pairs and relations.

To interpret the value of the function, we start by reading the graph.

From the graph, the value of the function when x = 0 is 12

This means that:

[tex]f(0) = 12[/tex]

Hence, the value of f(0) from the graph of f(x) is (a) 12 only

Read more about functions and graphs at:

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how to find an opposite ray?

Answers

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

where dose (3.5,1.75) go on a coordinate plane?

Answers

Answer: where is the picture

Step-by-step explanation:

in drop down menu one - 8, 6, or 5.5
in drop down two - 10.5, 8, 5.5
in drop down three- 33, 22, 11

HELP​

Answers

5.5 8 2.2 hope this helps love

HELP WILL MARK BRAINLIST!!!!!!!!!!! DUE TODAY 10:52 Write 1/8% as a decimal number. Enter your answer in the box.

Answers

Answer:

12.5

Step-by-step explanation:

Answer:

.125

Step-by-step explanation:

divide 1 by 8

or  divide 1 by 4 then divide by 2

Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain

Answers

This is impossible in 1 roll

the probability is zero

What should you do during the editing stage of the writing process?

Answers

Check for typos, proper grammar (commas, capitalization, tense) you can also check for words that could be replaced with more advanced synonyms to make your writing more formal.

Eric bought a card for$2.99 the sales tax was 8% what was his total cost?

Answers

Answer:

3.53

Step-by-step explanation:

i'm stuck, plsss help ASAPP!!! :))

Answers

Answer:

15 units

Step-by-step explanation:

[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

d = 14.866

d = 15

What is the rule for the reflection?

ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. ry=–x(x, y) → (–y, –x)

Step-by-step explanation:

The cost of dinner for Lorenzo and his 3 friends was $45.96.

Part A. How much did each person pay if they shared the cost equally?

Part B. Write an equation to model the solution to the problem.

Enter the correct answers in the boxes.

A. $ =

B. Equation =

Answers

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

Learn more about equations here;

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what is 7x+3(8x-7) I need it in standard form

Answers

Answer:

31x-21

Step-by-step explanation:

Distribute:7x+24x-21

Add like terms:31x-21

Answer:31x-21

the answer is 31x-21

what type of angle is this?

Answers

The correct answer is A which is obtuse

solve for c

solve for r

Answers

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

Help
Find the value of X

Answers

Answer:

x=11

Step-by-step explanation:

since the triangle is an isosceles triangle, angle 2 should be angle 42 so,

2x+20=42 degrees

2x=22

x=11

;-; help pleaseeeeee e e e

Answers

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

the opposite of 5x and 5x+8?

Answers

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

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