4x-3y = 12 and 3x+2y =6

Answers

Answer 1

Answer:

x = 42/17

y = -12/17

Step-by-step explanation:

4x - 3y = 12

3x + 2y = 6

use the elimination method (definition at the bottom of the page)

multiply both sides of the equation 4x - 3y = 12 by 2

8x - 6y = 24

multiply both sides of the equation 3x + 2y = 6 by 3

9x + 6y = 18

now, add the two equations:

17x = 42

x = 42/17

now, plug this into the equation 3x + 2y = 6

126/17 + 2y = 6

2y = -24/17

y = -12/17

4x-3y = 12 And 3x+2y =6

Related Questions

Simplify
3^-2 × -2^3​

Answers

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]let's solve:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9

Here are the shopping times in minutes) for a sample of 6 shoppers at a particular shoe store.
31, 39, 43, 41, 27, 41
Find the standard deviation of this sample of shopping times. Round your answer to two decimal places.

Answers

Answer:

41,41

Step-by-step explanation:

because thenumber of 41 is repeated

Find the remainder when the polynomial x3+x2-2x+1 is divided by(x+1)

Answers

Answer:

Remainder = 3

Step-by-step explanation:

Given

[tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]D =x + 1[/tex]

Required

Determine the remainder

[tex]D =x + 1[/tex]

Equate to 0

[tex]x + 1 = 0[/tex]

[tex]x = -1[/tex]

Substitute -1 for x in [tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]P = (-1)^3 + (-1)^2 - 2(-1) + 1[/tex]

[tex]P = -1 + 1 + 2 + 1[/tex]

[tex]P = 3[/tex]

Hence, the remainder is 3

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
At
12 ft
18 ft

Answers

Answer:

36 ft

Step-by-step explanation:

Encryption Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 3 4 1 2 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A. Encrypted Matrix = 3 4 1 2 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 11 117 60 75 133 87 42 5 51 20 31 57 39 14 , which we can also write as [11 5 117 51 60 20 75 31 133 57 87 39 42 14]. To decipher the encoded message, multiply the encrypted matrix by A−1. The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B".

Answers

Answer:

ok

Step-by-step explanation:

Find the area of the following figure:


Please answer I’ll give Brainly

Answers

Answer:

138 square centimeters

Step-by-step explanation:

You can find the area by splitting up the shape into pieces and adding it all together, and you get 138 square centimeters.

Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

The given side lengths are not clear enough:

So, I will give a general explanation.

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

[tex]ZW *k =Z'W'[/tex]

Divide both sides by k to get side length ZW

[tex]ZW = \frac{Z'W'}{k}[/tex]

Assume that:

[tex]k = 4[/tex] and

[tex]Z'W' = 28[/tex]

[tex]ZW = \frac{Z'W'}{k}[/tex]

[tex]ZW = \frac{28}{4}[/tex]

[tex]ZW = 7[/tex]

Apply these steps and you will get your answer

I need help please???!!!!

Answers

Answer:

x=2

Step-by-step explanation:

the line in the center is at (2,0)

X=2.......................

Eli saves money each month to buy a new computer.
The total amount he has saved, T, can be calculated
by the equation T = 83 + 30m, where m is the
number of months since he started saving. What
does the number 83 represent in the equation?

Answers

Answer:

The money he already had when he started saving.

Step-by-step explanation:

Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

What does the constant (c) in the equation → y = mx + c indicates?

The constant (c) in the equation - y = mx + c, indicates the value of (y) at

x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.

Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.

The equation given is -

T = 83 + 30m

When compared to the equation  of the straight line -

y = mx + c

We get -

c = 80

This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.

Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

To solve more questions on Amount estimation, visit the link below-

https://brainly.com/question/14600585

#SPJ2

Please help me with this

Answers

Answer:

2x for the first term

The whole thing is 2x+3

Step-by-step explanation:

Think of it like normal division

What will get the closest answer to 2x^2+x?

2x*x-1=2x^2-2x

Now the expression is 3x-3 so if you but 3 than it becomes 3x-3 which would be a remainder of 0

What is the equation for g(x) =

I need help ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

g(x) = math is a buncha bull :)

Step-by-step explanation:

please help with question ​

Answers

The answer is = -5
This gotta be 20 words long so I’m just making it 20 words anyways I did it on my book hope it helps
The answer is -5
Hope this helps

what is the HCF of 15and25​

Answers

Answer:

5

Step-by-step explanation:

HOPE IT HELPS YOU .......

Factor by grouping 5·(a+3)^2-(a+3)

Answers

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Hope this helps

Martin finds a shirt on sale for 20 %off at a department store. The original price was 10$ Martin must also pay 8.5% sales tax. How much is the shirt before taxes are applied? How much is the shirt after tax is applied?

Answers

Answer:

Step-by-step explanation:

Sale price = 80% of $10 = 0.80×$10 = $8

price + tax = 1.085×$8 = $8.68

Answer:

$8.00

Step-by-step explanation:

i did the math

What is the slope below?

Answers

Answer:

-1.25

Step-by-step explanation:

-5/4

notice the two dotted points

in order to find slope, do RISE/RUN

in order for the two dotted points to meet, you must go UP 5 and ACROSS 4

rise = up

run = across

next, you need to solve the slope

do -5/4

-5/4 = -1.25

your answer is -1.25

Answer:

-1.25

Step-by-step explanation:

5/-4=-1.25

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

Answers

Answer:

When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.

PLEASE I NEED HELP 10 points (dont waste them) What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

1280

Step-by-step explanation:

I think it is 1280 because 20*16*8/2=1280. I am not 100% sure.

Israel must choose two different elective classes next year. The list shows all the possible outcomes, in his order of preference. Band and painting Painting and chorus Ceramics and band Band and drama Chorus and ceramics Drama and chorus Which statements are true? Select all that apply. He had to choose between band and chorus. He had to choose between band and drama. He had to choose between painting, ceramics, and drama. He had to choose between chorus and ceramics. He had to choose between chorus, ceramics, and painting.

Answers

Answer:

A, C

Step-by-step explanation:

He had to choose between band and chorus.

He had to choose between painting, ceramics, and drama.

Trust

Answer:

A & C

Step-by-step explanation:

Amy , bill and Claire share an amount of money in the ratio 5:7:8

Answers

Answer:

7/20

Step-by-step explanation:

add the number up which is 20 and the purpose of bill is the middle of 7 is middle in the ratio

Write down the percentage multiplier to find 3% of a quantity

Answers

Answer:

0.03

Step-by-step explanation:

Hope this helps.

What is the hcf of 27, 36, 54​

Answers

1,2,3,4,6,9,12,18 and 36. 1,2,3,6,9,18,27, and 54 .Although the numbers in bold are all common factors of both 36 and 54 ,18 is the greatest common factor. The second method to find the greatest common factor is to list the prime factors, then multiply the common prime factors

A family wants to rent a car to go on vacation. Company A charges ​$75.50 and 12¢ per mile. Company B charges ​$45.50 and 11¢ per mile. How much more does Company A charge for x miles than Company B​?

Answers

Answer:

30-.01x

Step-by-step explanation:

(75.50-45.50)-(.12x-.11x)=

30-.01x

What is x in the equation?

Answers

Answer:

-1

Step-by-step explanation:

2x+4=2

or 2x= 2-4

or 2x= -2

or x=-2/2

or x= -1

Answer:

Step-by-step explanation:

㏒₁₀ a = y   ------> [tex]10^{y} = a[/tex]

log (2x + 4) = 2

10² = 2x + 4

2x + 4 = 100

2x    = 100 - 4

   2x = 96

     x = 96/2

x = 48

Barb makes 2.5 pounds
of mashed potatoes to
feed 15 people. How
much will she need to
make to feed 50
people?

Answers

I thinks it 8.35 pounds of mashed potato

Explanation:
If you multiply 15x3.34 it’s 50 so multiply 3.34 with 2.5 so it’s 8.35 pounds!

will pay $5 to whoever solves this :)

Answers

Can u send a better picture pls

The table below shows some prices at a produce stand. Produce Price per Pound Onions $0.75 Yellow Squash $1.99 Spinach $4.00 Potatoes $0.50 Selena has $11. What is the greatest amount of spinach she can buy? The greatest amount of spinach that Selena can buy is pounds.

Answers

Answer:

Step-by-step explanation:

The greatest amount of spinach that Selena can buy is 2 lbs

11/4=2.75

she can buy 2.75 lbs

8. Four Men working together can finish a house repair job in 12 days.
How many days will 6 men working at the same rate finish the same ja
9 Which of the​

Answers

Step-by-step explanation:

if 4 men did the job in 12 days , then each of the 4 men worked for 12 days , which means they worked for 4*12=48 days , so the job takes 48 work days to complete. If all men work at the same rate, then these other 6 will complete the job in

[tex] \frac{48}{6} = 8 \frac{days}{man} [/tex]

Therefore, it’ll take the group of 6 men 8 days to complete the job.

Measure these angles.

a)
b)
Please help​

Answers

Answer:

bro haw can we measure it from mobile

pls help guys im having trouble on this question and need help

Answers

Edgar (-5,8) is the correct answer.

Answer:

Edgar

Step-by-step explanation:

Just use a coordinate plane yourself, and follow the steps

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