A system of equations is shown below:

2x = 5y + 4
3x − 2y = −16

What is the solution to this system of equations? (5 points)

Answers

Answer 1

Answer:

x = -8, y = -4

Step-by-step explanation:

First we want to write the equations so the variables line up

[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]

Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.

I will choose to cancel out the x's

[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]

add the equations and solve

[tex]11y = -44\\y = -4[/tex]

once you have one variable, you can use it to solve the other

[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]

verify

[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]

it works

Answer 2
So the answer is
X = -8
Y = -4
Here is the working
A System Of Equations Is Shown Below:2x = 5y + 4 3x 2y = 16What Is The Solution To This System Of Equations?

Related Questions

√10 • √8 =
A. 4√5 or
B. 3√2
Which one?

Answers

Answer:

A. ([tex]4\sqrt{5}[/tex])

Step-by-step explanation:

√10 • √8 = [tex]\sqrt{80}[/tex]  - They combine into one.

 [tex]\sqrt{80}[/tex]

 /     \

[tex]\sqrt{20}[/tex]   [tex]\sqrt{4}[/tex]

 [tex]\sqrt{4}[/tex] = 2

[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

2 * 2 = 4

[tex]4\sqrt{5}[/tex] is the answer.

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?

Answers

8:40 AM, 15 + 10 + 25 = 50 so go 50 minutes backwards.

The time Nate left his house is 8 : 40 am

After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,

Time spent to middle schoolt = 15 minutes

Then he drove ten minutes to take his two younger daughters to the elementary school. Therefore,

Time spent to elementary schoolt = 10 minutes

He drove twenty-five minutes to work. Therefore,

Time spent to workt = 25 minutes

He arrived at work at 9:30 am. The time he left home can be calculated as follows:

Total time spent on the road = 15 + 10 + 25 = 50 minutes

Therefore,

Time he left home = 9:30 - 50 = 8 : 40 am

learn more on time here: https://brainly.com/question/25923001?referrer=searchResults

Carly, Brandon and Wyatt gather and shell walnuts for their grandfather. Carly gathers 3.5 pounds of walnuts. Brandon collects 3.75 pounds of walnuts and Wyatt collects 2 pounds. If they place all of the walnuts in one basket and each shells the same amount of walnuts, how many pounds will each person she

Answers

Answer: 3.083 pounds

Step-by-step explanation:

Amount of walnuts gathered by Carly = 3.5 pounds

Amount of walnuts gathered by Brandon = 3.75 pounds

Amount of walnuts gathered by Wyatt = 2 pounds

Total walnuts gathered = 3.5 + 3.75 + 2 = 9.25 pounds

Since they shared the walnuts equally, each person will get:

= 9.25pounds/3

= 3.083 pounds

Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me

Answers

Answer:

8^2+20-30x

Step-by-step explanation:

Answer:

Hello

B. -19

Step-by-step explanation:

= (-7)+7-(19)

= (-7+7)-19

= 0-19

= -19

Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Its not a because all they did was take the variable out the equation the answer is b cause they solve for b

PLEASE HELP !!!!!!
(also please don’t reply if you don’t know) thx

Answers

Answer:

1. 270 meters

2. 9 centimeters

3. 14 kilometers

4. 135 square meters

5. 24 square meters

6. the volume of the swimming pool is 144

Step-by-step explanation:

What is an equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27?​

Answers

Answer: y=3x+3

Step-by-step explanation:

The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27:

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

find the x intercept and y intercept of
3x - 9y =18

Answers

Answer:

y-intercept: (0, -2)

x-intercept: (6, 0)

Step-by-step explanation:

The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3(0) - 9y = 18[/tex]

[tex] - 9y = 18[/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2 so the y-intercept is (0, - 2).

The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3x - 9(0) = 18[/tex]

[tex]3x = 18[/tex]

[tex]x = 6[/tex]

When y = 0, x = 6 so the x-intercept is (6, 0).

Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form

Answers

Answer:

y = 75x + 800

Step-by-step explanation:

Answer:

y = 75x + 800

'x' represents the number of people

800 represents the base rate

PLEASE HELP! WILL MARK BRAINLIEST!!

Answers

Answer:

<RQS=121

Step-by-step explanation:

please mark brainleist

Find the value of each variable.

Answers

Answer:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.

Answers

Answer:

10.50$

Step-by-step explanation:

Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).

Write the equation of the parabola in vertex form.

(Answers are given in photo)

10 points!!! Please help.

Answers

Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

[tex]y = a(x - h)^2 + k[/tex]

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

Learn more here: https://brainly.com/question/24208497

It is known that solve for the value of x algebraically.

Answers

Answer:

this question doesn't make since

Step-by-step explanation:

You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
in total gives 30. What are the numbers?
equation

Answers

Answer:

set middle number=x

then left side number=x-1

and right side number=x+1

(x-1)+x+(x+1)=30

3x=30

x=10

x-1=9

x+1=11

numbers are 9,10,11

A rocket releases a satellite into orbit around Earth, The satellite travels at 2000 m/s in 25 seconds. What is the acceleration?

Answers

Answer:

80

Step-by-step explanation:

The formula to calculate speed is s=d/t. If the distance is 2,000 m/s and the time is 25 seconds, you plug in the numbers into the formula for speed. 2,000/25=80

The satellite's acceleration (speed) is 80.

(I'm not exactly sure what the unit should be for the answer 80, but...) I hope this helps and have a great day!! :3

John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles

A- 17

B- 19

C-21

D-15

Answers

Answer:

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours

write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Answers

Answer:

y  = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is [tex]\frac{1}{2}[/tex]

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ([tex]\frac{1}{2}[/tex] x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = [tex]\frac{1}{2}[/tex]x - 2

michael jordan only has 1.8 pieces of greatest of all time

and lebron james has 8.48 pieces of greatest of all time

answer 8.48 x 1.8 when you get the answer add it woth 8.48 and 1.8
will give brainliest

Answers

Answer:

25.544

Step-by-step explanation:

HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

380,160 and 2nd one should be 240

Step-by-step explanation:

If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay

Answers

Answer:

90 minus 10 is 80 so $80 left

A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?

Answers

Answer:

$28.80

Step-by-step explanation:

16 times 0.8 = 12.8 + 16 = 28.80

I have attached a screenshot

Answers

Answer:

Step-by-step explanation:

x2 + 2x - 7 + 11x2 - 5x - 1

Solving like terms

12x2 - 3x - 8

they only said simplify and i guessed the answer as undefined

Answers

I think it is B but I’m not sure

i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem

Answers

I think what you would have to put is divide so split the total of the tickets and that how much and plssss give me brain list

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

what is the average rate of change
y - 3 = -12 (x + 4)​​

Answers

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __

Answers

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

[tex]= 3,000,000[/tex]

[tex]=3\times10^6[/tex]

On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Find the measurement of PQ. Assume the drawings are not drawn to scale

Answers

Answer:

25.7 cm

Step-by-step explanation:

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