Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?

Answers

Answer 1

Answer:

x = -5

Step-by-step explanation:

3x + 1 = 2x - 4

x + 1 = -4

x = -5

Answer 2

The x-coordinate in the solution of the system is -5.

What are linear equations?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given the equations y = 3x + 1

y = 2x - 4

comparing both equations for equal values of y,

3x + 1 = 2x - 4

3x  - 2x = -4 - 1

x = -5

substitute value of x in equation,

and y = 3x + 1

y = 3(-5) + 1

y = -14

Hence the value of x is -5.

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Related Questions

(-1 1/2) * 2/3 =
pls i need help!!

Answers

Answer: -1

Step-by-step explanation:

[tex]\bigg (-1\dfrac{1}{2} \bigg) \cdot \dfrac{2}{3} =-\dfrac{3}{2} \cdot \dfrac{2}{3} =-1[/tex]

PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)

Answers

First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).

For part B you can use the following:

y = m x + b

y = (7/4) * 13 + 3

26 Is your answer

Goodluck

:):

find the vertical asympotes y= 3/ x+5

Answers

Answer:

the vertical asymptotes is x= -5

g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=

Answers

The value of (f + g)(5) is 65

Function

Function relates input to output . Therefore,

g(x) = w² + 7w - 7

f(x) = 4w - 8

Therefore,

(f + g) = w² + 7w - 7 + (4w - 8)

(f + g) = w² + 7w - 7 + 4w - 8

(f + g) = w² + 11w - 15

Finally,

(f + g)(5) = 5² + 11(5) - 15

(f + g)(5) = 25 + 55 - 15

(f + g)(5) = 80 - 15

(f + g)(5) = 65

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6/5 of ______ is 30
Please help

Answers

6x30=180
—————-
5x1= 5
180/5=36
5/5 =1
36/1
Answer : 36

It is 36.

180/5 = 36

5/5 = 1

When we put that together, we can see that our complete answer is:

36/1  

The complete and simplified answer to the question what is 6/5 of 30 is:

36.

In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?

Write the equation and your solution.

Answers

Answer:

i dk and stop callin me slime

Step-by-step explanation:

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Equation is [tex]w^2+4w-60=0[/tex]

Given :

a rectangular flower bed is designed to be 4 meters longer than it is wide

60 square meters are needed for the plants in the bed.

Let 'w' be the width of the flower bed

and 'L' be the length of the flower bed

Length is 4 meters longer than its width

Length L= w+4

We know that the area of rectangle = length times width

[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]

Given that the area is 60 square meters

Replace A by 60  and solve for 'w'

[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]

Width cannot be negative, so width = 6 meters

length = width +4 = 6+4=10 meters

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

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10.3
Problem Solving
33/5 as a whole number

Answers

Answer:

6 and 3/5

Step-by-step explanation:

It’s 6 and 3/5 your welcome!

A bank account earns a fixed rate of interest compounded quarterly (every 3 month)

Answers

Answer:

Here’s what I got.

Hope it helps.

What do two equivalent expressions ALWAYS have in common?

A: The same value
B: The same variables
C: The same constant
D: Both have a equal

Answers

It’s c the same constant. Have a nice day!

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

88 square feet
232 square feet
283 square feet
300 square feet

Answers

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

Marcia and her family went to a concert.They bought 3 adult tickets and 4 children’s tickets. What was the total cost for the family?2.A small aircraft has 14 rows with 2 seats in each row on one side and 14 rows with 3 seats in each row on the other side. How many seats does the aircraft have in all?3.Writing to ExplainWrite a problem about going on a water ride at an amusement park that has a hidden question. A small boat seats 4 people, and a large boat seats 6 people. Solve your problem.Concert AdmissionAdults$8Students$5Children$3P 10•7

What is the hidden question

Answers

Answer:

2= 28+42=70

Step-by-step explanation:

PLEASE HELPPPPP ME IN BEGGING YOU

Answers

Answer:

im going to say its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.

180-133= 47

180-108=72

180-119=61

Solve B/3= 18
Please help

Answers

Answer:

[tex]b=54[/tex]

Step-by-step explanation:

Solve for  [tex]b[/tex]  by simplifying both sides of the equation, then isolating the variable.

Hope this helps :)

-ilovejiminssi♡

Answer:

B=54

Step-by-step explanation:

B/3=18

B=18×3

so, B=54

Ans

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

how do u write an equation in slope intercept form to describe a graph​

Answers

Answer:

y= mx+b BRAINLIEST PLEASE

Step-by-step explanation:

Divide j by 9 and the multiply the quotient by 2

Answers

Answer:

Step-by-step explanation:

you will need to do:

j/9*2=2j/9

The line across which a figure is flipped is called the line of transformation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

How do I do this? Please only the best help.

Answers

Answer:

77.5 degrees and 102.5 degrees

Step-by-step explanation:

Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:

b = a +  25 degrees

But;

a + b = 180 degrees  (sum of angles on a straight line)

a + a + 25 degrees  = 180 degrees

2a = 180 degrees - 25 degrees

a =  77.5 degrees

b = 77.5 degrees  + 25 degrees  = 102.5 degrees

Therefore the measures of all angles formed by the lines is either 77.5 degrees  or 102.5 degrees.

Find the area of the shape shown below.
3.5
2
2.
units?

Answers

9514 1404 393

Answer:

  26.75 square units

Step-by-step explanation:

Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...

  A = (1/2)bh

  A = (1/2)(9)(3.5) = 15.75 . . . . square units

__

Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(9 +2)(2) = 11 . . . . square units

The sum of these areas is the area of the shape:

  total area = 15.75 +11 = 26.75 . . . . square units

A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?



Please help

Answers

Step-by-step explanation:

V

424.12

cm³

d

Diameter

cm

h

Height

cm

Find a. Round to the nearest tenth.

Answers

9514 1404 393

Answer:

  21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

  a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

  a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

__

We need to know the angle A. Its value is ...

  A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

  a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

  a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative

Answers

Answer:

C

Step-by-step explanation:

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.

Answer: D both negative

Step-by-step explanation:

7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp

Answers

12(1/4x + 4) - 48 = 3x
3x + 48 - 48 = 3x
x = 0

y = 1/4(0) + 4
y = 4
1) solve y
y= x/4+4
2) substitute- y=x/4+4 into y-48=3x
3x=3x

Hope this helps, and I hope you get your marks :)

A city worker is painting a stripe down the center of Main Street. Main Street is 8/10 mile long. the worker painted 4/10 mile of the street. explain how to find what part of a mile is left to paint..

Answers

8/10-the length of the street minus 4/10-the completed amount equals 4/10 of a mile is the remaining. Since the denominators are the just sub the numerator.

HELP HELP
PLZ I WILL MARK YOU BRILL

Answers

Answer:

1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.

Step-by-step explanation:

wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer

Answers

“kilo-“ means “thousand.” A kilogram is 1,000 grams.
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas

PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can

Answers

Answer:

the first answer is 104 square units

I forgot how to answer the surface area for the second prism sorry.

Step-by-step explanation:

10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals​

Answers

Answer:

c)1 goal

Step-by-step explanation:

Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.

Hope this helps.

Please help will mark brainlist .

Answers

K= 3. D=P. E=Q. F=R. G=S

Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answers

Answer: I think it’s cm = b, I think your image is very hard to see

Step-by-step explanation:

The given quadrilateral is a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The proof is as follows;

          STATEMENTS                                       REASONS

1)  AM = CM and BM = DM                                    Given

2) m ∠ AMB = m ∠ DMC and

m ∠ AMD = m ∠ BMC                          Definition of Vertical angles

3) Δ AMB ≅ Δ DMC and

Δ AMD ≅ Δ BMC                                 By SAS congruency criterion

4) AB = CD and

BC = AD                                                BY CPCTC

5) ABCD is a parallelogram                If both pairs of opposite sides of a                                      

                                                           quadrilateral are congruent then it is    

                                                                           a parallelogram.

Hence, proved, ABCD is a parallelogram.

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