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.

Learn more about linear equations;

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Related Questions

In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.

Answers

The first angle would equal 39, multiply that by 2 it would equal 78 for the second angle. 39+24=63 for the third angle. The way you know this is right is if you add them all together they equal 180.

can you guys help again

Answers

Answer:

Step-by-step explanation:

1 = 27

2 = 36

2 = 1,000

Answer:

3^3 = 27

6^2 = 36

10^3 = 1000

Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!

Answers

Answer:

in average a it take both faucets together to fill the water cooler=(8+12)/2=10minutes

help me please im slow

Answers

It's just a black screen for me

I can't see because theirs no question

PLEASE HELP QUICKK!!

Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates?

Answers

Answer:

C (7, -3)

Step-by-step explanation:

Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.

Answer:

B

Step-by-step explanation:

-7 is the x and -3 is the y so flip would be (-7,3)

A toy made of connecting blocks is in the shape below. Find its total volume.

Answers

Answer:

D) 312 cubic yards

Step-by-step explanation:

large box = 9x8x4=288

small box = 2x3x4=24

288+24=312

The answer it 312 cubic yards:)

why do i suck at math

Answers

the world may never know

Answer:

Yeah, what the dude above me said.

Step-by-step explanation:

For each inequality, decide whether the solution is represented by x < 4.5 or x > 4.5.
-24 > -6(x - 0.5)

Answers

The answer is x > 4.5.

Explanation:

-24 > -6(x - 0.5)

-24 > -6x + 3

6x > 3 + 24

6x > 27

x > 27/6

x > 4.5

Equation in point slope form (5,-12);m=-2/3

Answers

Answer:

y + 12 = -2/3(x - 5)

BELE
What is the slope of the line represented by the equation y = -- 5x?
-5
Nm nm is

Answers

The slope is -5.cause the formula for slope is y=Mx+b and in this equation -5 is the slope

John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?

Answers

Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

9 is 15% of what number?

A.24

B.60

C.85

D.135​

Answers

Answer: B.60

Step-by-step explanation:

9 divided by 15%=60

14. What is the value of the missing angle? (1 point)
151
х
75
75-
115
135
O 129°
O 1530
O 1690
0720°

Answers

Answer:

75+ po e photo math nyo po sa play store I download nyo po

Step-by-step explanation:

sana po makatulong po

Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?

Answers

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

find all the real zeros of the function f(x)=3x^4+11x^3-40x^2-132x+48

Answers

Answer:

2*square root 3, -2*square root 3, 1/3, -4

Step-by-step explanation:

Complete each calculation using the distributive property.

Answers

What are the answer options?

1. There are five questions on a multiple-choice test. Each question has four possible
answers. Savanna did not study for the test, randomly picks the answers, and submits
the exam. Find the probability that:
Savanna answers the first question correctly.
b. Savanna answers the first, second, third, fourth, and fifth questions correctly.

Answers

Answer:

a. 1/4

b. 1/4 ^ 5 = 1/1024

What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.

Answers

Slope= y2-y1/ x2-x1
= -1-2/-1+3
= -3/2 is the answer

wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?

Answers

20,24,28,36,51,60 us the correct statement

5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

please help if your good at geometry. find a

Answers

Answer:

a = 1.8 to the nearest tenth.

Step-by-step explanation:

Remark

I don't think this case is ambiguous. It has only 1 solution, I think.

Step One

Find the top angle.

All triangles have 180 degrees.

15 + 105 + x = 180

120 + x = 180                     Subtract 120 from both sides

x = 180 - 120

x = 60

Step Two: Find a

a/sin(60) = 2/Sin(105)       Multiply both sides by sin(60)

a = 2 *  Sin(60) / sin(105)

a = 2 * .8660 / 0.9659

a = 1.793

PLEASE HELP!!!
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

Answers

Answer:

$7.29 per hour  at her new job.

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do  801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)

x and y
are supplementary angles. y
measures 142.
What is the measure of x?

Answers

Answer:

38°

Step-by-step explanation:

y = 142°

x + y = 180°{ being supplementary angles }

x + 142° = 180°

x = 180° - 142°

x = 38°

Hope it will help :)

Problem 3.39) Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

Answers

Answer:

0.2916 = 29.16% probability that one of them is pre-diabetic

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.

This means that [tex]p = 0.1[/tex]

Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

This is P(X = 1) when n = 4. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]

0.2916 = 29.16% probability that one of them is pre-diabetic

At $.54 for a dozen oranges, what will 7 1/2 dozen cost?

Answers

Answer: $4.05
Explanation: you multiply 7 1/2 time .54

I need help please. Thank you! :)

Answers

Answer:

12 for the first one and twelve for the second one

Step-by-step explanation:

i think you can divide for the first one and second one if you divide 240÷20 you will get twelve and if you divide 180÷15 you will get 12

Pl help it’s for a grade

Answers

Answer:

1 m/s/s (1 meter per second per second)

Step-by-step explanation:

First, you need to divide 10 by 10, and that is 1. There is your answer!

Hope this helps!

(Please Brainliest if possible!!)

Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Answers

Brian’s milk. you have to make the ratios the same: 1:6 becomes 5:30 and 2:10 becomes 6:30.

Answer:

Brian

Step-by-step explanation:

just did an ixl

Tell whether I and y are proportional

PLS HELP

Answers

Answer:

This is not proportional. In order for it to be proportional the number from dividing y/x must be the same all the way through. Example:18/2=9 20/4=5

The answers are not the same, therefore x and y are not proportional. Hope this helped.

Step-by-step explanation:

They’re not proportional!

Here is a balanced hanger diagram. A circle has a mass of 6 grams and a square has a
mass of 4 grams. What is the mass of the triangle?

Answers

Answer:

7

Step-by-step explanation:

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