solve the system of linear equations 3x-2y=16
6x-4y=32

Answers

Answer 1
Step by Step Solution

System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions

Answer 2

Answer:

Step-by-step explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions


Related Questions

4. Solve for x, and explain which theorem or
postulate that helps you find the answer.

Answers

Answer:

x = 4°         Alternate Exterior Angles

Step-by-step explanation:

[tex]\begin{array}{cc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\\end{array}\right][/tex]

Solve for x:

21x + 6° = 90°

21x = 84°

x = 84°/21

x = 4°

[tex]\begin{array}{ccc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\x = 4&Algebra\end{array}\right][/tex]

-Chetan K

The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?

Answers

Answer:

-13

Step-by-step explanation:

Answer:

-22 F

Step-by-step explanation:

basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)

Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?

Answers

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

HELP!!!!What is 1/4 turned into a decimal I REALLY NEED HELP BEFORE MY TEACHER GIVES ME A BAD GRADE

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

→1/4 as a decimal is 0.25

(I hope you get this answer correct, and also hope you have a great day or night! :)).

Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?

A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5

Answers

Answer:

B : y = 0.1x + 5

Step-by-step explanation:

using the y = mx + b equation

b is the intercept on the y axis ( x = 0)

m is the slope of the line.

From the graph we can see that the intercept is (0,5), therefore b = 5;

To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)

m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1

m = 0.1

therefore in y = mx + b

y = 0.1x + 5

HELPPPP!!! please answer the question in the picture below

Answers

Answer:[tex] \rightarrow [/tex] $1,590.4

=================================================

Solution:

[tex] \rightarrow [/tex]Formula: Amount = P x (1 + R x T)

[tex] \rightarrow [/tex] = 1,400 x (1 + 3.4% x 4)

[tex] \rightarrow [/tex] = 1, 400 x (1 + 0.034 x 4)

[tex] \rightarrow [/tex] = 1,400 x (1 + 0.136)

[tex] \rightarrow [/tex] = 1,400 x 1.136

[tex] \rightarrow [/tex] = 1,590.4

What is the slope intercept equation from the graph?


Please help thank u

Answers

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0).  (0, 3) is the y-intercept.  Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3.  Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

Given the following graph what is the slope?

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

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

A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?

Answers

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

Which expression is equivalent to 56+23m+12−16m?


Answers

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

change this time to 12-hour clock what is anwer

Answers

Answer:

2.Military Time 0327 is: 03:27 AM using 12-hour clock notation, 03:27 using 24-hour clock notation.

3.Military Time 0048 is: 12:48 AM using 12-hour clock notation, 00:48 using 24-hour clock notation.

5.Military Time 0600 is: 06:00 AM using 12-hour clock notation, 06:00 using 24-hour clock notation.

6.Converting 24-Hour Time to 12-Hour Time. Add 12 to the first hour of the day and include “AM.” In 24-hour time, midnight is signified as 00:00. So, for midnight hour, add 12 and the signifier “AM” to convert to 12-hour time.

1.05:29 PM using 12-hour clock notation, 17:29 using 24-hour clock notation.

4.11:58 PM using 12-hour clock notation, 23:58 using 24-hour clock notation.

7.09:44 PM using 12-hour clock notation, 21:44 using 24-hour clock notation.

8.10:48 PM using 12-hour clock notation, 22:48 using 24-hour clock notation.

9.11:55 PM using 12-hour clock notation, 23:55 using 24-hour clock notation

(I've put the question numbers according to how you've asked it in the question)

Hope you've understood ☺️

in which group males or females did a greater percentage use other modes of transport and by how much?

Answers

I think the answers here:-

dp201111.pdf

Help Plz this is due tomorrow
Write slope-intercept form of a linear equation

(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx

Answers

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)

Hope this will help:)

Please answer quick!

Answers

Answer:

that must be bad, bro I need help to

Answer:

A, B and D are equations

Multiply the binomials:

(3x + 4)(5x − 2)

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

y = mx+b

Answer:

y = -5x-2

Step-by-step explanation:

Use slope and y intercept to place the equation into slope intercept for (y=mx+b)

Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260

Answers

Answer:

it is the $14 pack

Step-by-step explanation:

the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.

Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.

Answers

Answer:

(y-d) × a + c

Step-by-step explanation:

You start with y:

y

subtract d:

y-d

multiply by a:

(y-d) × a

then add c:

(y-d) × a + c

Hope that helps! :)

Write each pair of quantities as a unit rate.
A) 225 heartbeats in 3 mins
B) $18.70 for 2 tickets.
C)$6.75 for 3 golf balls
D) $78.00 for 8-hour work

Answers

A) 75heartbeats per min
B) $9.35 per ticket
C) 2.25 per golf ball
D) $9.75 per hour

NEED ASAP!!!

Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2

Answers

Evaluate just means plug in the value that they give you, so instead of r you plug in -1/2
So. 28+79(-1/2)
=28+(-39.5)
= 28-39.5
=-11.5 or -11 1/2

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

find the total surface area of this triangular prism PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

S.A=(help me)

Simplify x^3 divide by x^2

Answers

The answer would just be x

A car moves at a speed of 45 km/h for 20 minutes. what is the distance traveled by the car ?

don't ya ans if u don't know
no plagiarism and spams
need a well explained ans

Answers

Speed of car

[tex]45 \frac{km}{h} [/tex]

Time : 20 min

[tex] \frac{20}{60} h[/tex]

[tex] \frac{1}{3} h[/tex]

We have , speed

[tex] = > \: \frac{distance}{time} [/tex]

:. Distance

[tex] = > \: speed \: \times \: time \\ = > \: 45 \frac{km}{h} \: \: \times \frac{1}{3} h \: \: \\ = > 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]Hence , the distance covered by the car is 15 km

Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have

Answers

Answer:

Your anwser would be

5.45454545455

Step-by-step explanation:

since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545

Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.

find the median data 46,22,46,49,45,39,40,42,41,39,40,36

Answers

Answer:

median is 40.5

Step-by-step explanation:

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

half way between numbers in numerical order

lands between 40 and 41

40.5

Answer:

41

Step-by-step explanation:

1. First you have to put the numbers in order from least to greatest:

22 36 39 39 40 40 41 42 45 46 46 49

2. Then cross out each number until you find the one that in the middle

For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea

help me help me help me

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \sqrt{8} [/tex]

[tex] \sqrt{2 \times 2 \times 2} [/tex]

[tex]2 \sqrt{2} [/tex]

[tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex]

[tex](2 ){}^{1 + \frac{1}{2} } [/tex]

[tex]2 {}^{ \frac{2 + 1}{2} } [/tex]

[tex] {2}^{ \frac{3}{2} } [/tex]

I hope it helps ~

Which expression can be used to find 25 percent of 88?
1/25 x 88
One-fourth times 88
1/0.25 x 88
1/40 x 88

Answers

Answer:

B) 1/4 x 88

Step-by-step explanation:

25%=25/100=1/4

25% of 88, of is basically multiplication

=1/4 x 88

pls I need a step by step on how to solve
2+4=6−2

Answers

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.

Answers

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

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

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891

Can someone help me with this I’m confused?

Answers

the answer is 2/6, but you can reduce it by 1/2 which is 1/3

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