Solve this system of equations by using a matrix. 6x-5y=-15, 4x+3y=-10

Answers

Answer 1

Answer:

(-2.5,0)

Step-by-step explanation:

1.5(4x+3y)=-10(1.5) =

6x+4.5y=-15

6x+4.5y= 6x-5y (substitution)

-6x from both sides

4.5y =-5y

y=0

6x-0=-15

divide by 6

x=-2.5

Check:

-2.5(4)+3(0)=-10

-10= -10 (correct!)

(6)-2.5-0=- 15 (correct!)


Related Questions

1
Funky Fractions
Addition & Subtraction
Mrs. Twinkle walks around a
rectangular park. The park is 212
miles long and 1 3/8 miles wide.
How far does she walk?

Answers

Answer:

c

Step-by-step explanation: If you do the math you can clearly see and I got the answer correct.

Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. B+7=15. B=8

Answers

Answer:

Subtration property of Equality

Step-by-step explanation:

B + 7 = 15

   - 7    - 7

B = 8

The equation B + 7 = 15 becomes B = 8 by subtraction property of equality thus option (C) is correct.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use b.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given equation,

B + 7 = 15

Subtract 7 on both sides,

B + 7 - 7 = 15 - 7

B = 8

Hence "The equation B + 7 = 15 becomes B = 8 by subtraction property of equality".

For more about the number system,

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Which of the following are partial products for 43 x 17

Answers

Answer:

731

Step-by-step explanation:

A washer and dryer cost $1011 combined the washer cost $61 more than the dryer what is the cost of the dryer

Answers

Answer:

$475

Step-by-step explanation:

First, we need to subtract 61 from 1011 which given us 950. Then, we divide 950 by 2 to give us the cost of the dryer :)

950 ÷ 2 = 475

This means the cost of the washer is $536 (not relevant to the answer, but at least now you know :) )

Dryer is $475washer is $536

What is the value of x? The answer can be a decimal!
(5x - 25) °

(3x + 9°

Answers

5x - 25 + 3x + 9 = 180
8x - 16 = 180
8x = 196
x = 24.5

Answer:

24.5

Step-by-step explanation:

5x-25+3x+9=180

8x-16=180

8x=196

196/8=24.5

Fourty-Seven times Fifty-One

Answers

Answer:

answer is 2397

Step-by-step explanation:

Find the perimeter of the figure to the nearest hundredth, if a =9 and b=2.

Answers

Answer:

e. 23.14 m

Step-by-step explanation:

Perimeter of the figure = ½(perimeter of a circle) + 2(a) + b

= ½(πd) + 2(a) + b

Where,

d = 2 m

a = 9 m

b = 2 m

Plug in the values into the equation

Perimeter of the figure = ½(π*2) + 2(9) + 2

= π + 20

= 23.14 m (nearest hundredth)

4) Solve the following triangle:
A= 113• b=8 in c= 7in

Answers

Answer: i cannot answer this question correctly without picture or diagram of the triangle but here is something that can help

Step-by-step explanation:

Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?

Answers

Answer:

£395.

Step-by-step explanation:

Call out fee=35

30 per hour = 2 hour to be =60

but,12 minutes in hours= 12/60= 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charge as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 + 395

Nick walked 3/4 of a mile in 12 minutes.How long would it take him to walk three miles at this pace

Answers

Answer:

48 minutes

Step-by-step explanation:

First do 3 divided by 3/4 and that gives you 4. Then multiply 4 by 12 and you get 48.

Answer:

45

Step-by-step explanation:

I love math, so this was fun! First, we need to know how long it would take him to walk 1 mile. We know it took 12 minutes to walk 3/4 of a mile, so we just need to figure out how long each quater is. For this problem, each quarter of a mile is 3 minutes, and so we just need to multiply that by 4. then, we know it would take him 15 mintues to walk a mile. Then, just multiply that by 3! Hope this helps, sorry I can't spell :)

Find the coordinates of the point 7/10 of the way from A (-3,-5) to B (9.4)

Answers

Answer:

(-2/17, 5/17)

Step-by-step explanation:

Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10

Using the midpoint formula;

M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))

Given

x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10

get the required coordinates;

X = ax1+bx2/a+b

X = 7(-3)+10(9)/7+10

X = -21+19/17

X = -2/17

Get the Y coordinate;

Y = ay1+by2/a+b

Y = 7(-5)+10(4)/7+10

Y = -35+40/17

Y = 5/17

Hence the required coordinate is (-2/17, 5/17)

The movement of the progress bor moy be uneven because
Simplify (2 + 3)2 – 16: 2.
The solution is?

Answers

No one helps me when I really need it

Plot 1/2x-y=4 and 2y=x+6

Answers

Answer:

2x+y s with. 3x-2y 7 one of these. 3x+2y ex) (2x-y) (3x-2y)

Step-by-step explanation:

2x+y s with. 3x-2y 7 one of these. 3x+2y ex) (2x-y) (3x-2y)

hope this helped ^^

IS THIS SSS SAS or AA​

Answers

Step-by-step explanation:

This is SAS.

Hope it helps you.

answer : SAS = side-angle-side

I need help!!!
I have tried for 1 hour and 30 minutes and still haven’t solved it. If anyone can help I would greatly appreciate it.

Answers

Answer:

-2x+y = 4

y = 2x+4

Slope = 2                      y-intercept = 4

which number has a greater magnitude 2 or -3

Answers

Answer:

2

Step-by-step explanation:

I think but I may be wrong

Find value of x in triangle

Answers

Answer:

110

Step-by-step explanation:

Ik

Answer:

32

Step-by-step explanation

for this triangle the 2 missing angles are the same angle so subtract 116 from 180 to find the sum of the 2 angles then divide

How long will it take for the concentration to reach 0.0500 M?

Answers

This question is incomplete, the complete question is;

A general reaction written as A + 2B → C + 2D is studied and yields the following rate law: ∆A/∆t = k A².

The initial concentration is 1.000 M and t½=20.00 s.

How long will it take for the concentration to reach 0.0500 M

Answer:

it will take 380 seconds for the concentration to reach 0.0500 M

Step-by-step explanation:

Given that;

A + 2B → C + 2D

initial concentration A₀ = 1 M

half life t1/2 = 20sec

concentration after t time [A_t] = 0.0500 M

∆A/∆t = k A²

This is a second order chemical kinetics

for this order; t1/2 = 1 / [A]₀K

A₀ is initial concentration, K is rate constant, t1/2 is half life

so,

k = 1 / [A₀]t1/2

we substitute

K = 1 / 1.000 × 20

K = 0.05 mol⁻¹L/sec

for second reaction order

1/[A_t] = kt + 1/[A₀]

kt = 1/[A_t] - 1/[A₀]

we substitute

kt = 1/0.0500 - 1/1.000

kt = 20 - 1

kt = 19

substitute the value of k

0.05 × t = 19

t = 19 / 0.05

t = 380 sec

Therefore it will take 380 seconds for the concentration to reach 0.0500 M

Evaluate
4(x+3)(x+1)/(x+5)(x-5) x=3

Answers

Answer:

-6

Step-by-step explanation:

The value of the given expression will be equal to -3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution to the expression is:-

=  4(  x  +  3  ) (  x + 1  )  /  (  x  +  5  )  (  x  -  5  )

=  4(  3 +  3  ) (  3  + 1  )  /  (  3  +  5  )  (  3  -  5  )

=  (  4  x  6  x  4 )  /  (  8  x   -2  )

=  -3

Therefore the value of the given expression will be equal to -3.

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EASY QUESTION
Digit is working on the probabilities of spinning each food item in his game.

The spinner is divided into 12 equally sized sections, and each section contains a food item from the menu, as shown here.

Cured pasta & bear is labeled on 1 section.
Baked cucumber & lime mutton is labeled on 2 sections.
Poached fennel & lemon alligator is labeled on 1 section.
Pressure-cooked mushroom & garlic chicken is labeled on 2 sections.
Praline wafer is labeled on 1 section.
Gooseberry & passion fruit cheesecake is labeled on 2 sections.
Oven-baked apple & lavender calzone is labeled on 3 sections.
Based on the rules Digit created, which option has the greatest probability?

P({x:x is praline wafer})
P({x:x is oven-baked apple & lavender calzone})
P({x:x is cured pasta & bear})
P({x:x is cucumber & lime mutton})
P({x:x is poached fennel & lemon alligator})
P({x:x is pressure-cooked mushroom & garlic chicken})
P({x:x is gooseberry & passion fruit cheesecake})

Answers

Answer:

im pretty sure it's P({x:x is oven-baked apple & lavender calzone })

Step-by-step explanation:

its the one with the biggest section

If you were to select 1 shape at random from the array, what shape do you have the greatest probability of selecting

Answers

A circle because it’s different

Given the following table, find the equation that matches it.​

Answers

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)

The rule of the slope is m =  [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

x1 = 0 and y1 = 7

x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{2-7}{1-0}=\frac{-5}{1}[/tex]

m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = 7

∴ b = 7

y = -5x + 7

The equation that matches the table is y = -5x + 7

What is the greatest acceptable length for a package that has a square base measuring 12 in. by 12 in.

Answers

Ahh I’m not smart so imma just guess not saying it’s right . 24 in?

Which statement best describes the leaf structures of monocots and dicots?

Dicots have narrow leaves with parallel veins, and monocots have broad leaves with a network of veins.
Monocots have narrow leaves with parallel veins, and dicots have broad leaves with a network of veins.
Dicots have narrow leaves with a network of veins, and monocots have broad leaves with parallel veins.
Monocots have narrow leaves with a network of veins, and dicots have broad leaves with parallel veins.

Answers

Answer:

can you space it plz

Step-by-step explanation:

Answer:

The correct answer is choice B.

Step-by-step explanation:

Monocots differ from the dicots In the structural features of the leaves, the stems, roots, and flowers. The differences start from the very beginning of the plant's life cycle: the seed. Monocots have one cotyledon, while dicots have two. When it comes to leaves,  monocots have narrow leaves with the typical parallel leaf veins. Dicots have broad leaves with a network of netted leaf veins.

what is 0.125 in a percent

Answers

12.5% hope this helped mark as brainliest pls?
12.5 percent because there behind the decimal

This is annoying to work out

Answers

Answer:

A is 3, -5

B is -4, -1

Step-by-step explanation:

Hope it helps!!

What is the purpose of finding the average?

Answers

Answer:

The purpose of taking the average of a set of data is to give one a general idea of how the data set is acting or performing as a whole.

Step-by-step explanation:

Hurry help I need help with this question

Answers

Answer:

The answer is B

Step-by-step explanation:

Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon how many miles did Daria walked in all

Answers

Answer:

The answer is 3 7/10!!!!!!!!!!!

Step-by-step explanation:

I hope this help! :)

Answer:

3 7/10!

Step-by-step explanation:

1 2/5 + 2 3/101 4/10 + 2 3/101 + 2= 34/10 + 3/10= 7/10(3 + 7/10= 3 7/10) or (1 4/10 + 2 3/10= 3 7/10)

I HOPE THIS HELPED!

1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)

Answers

Answer:

150$

Step-by-step explanation:

In order to find the answer to this question you must find twenty-five percent of two-hundred.

50% of 100 = 50

100% of 100 = 100

100% of 200 = 200

50% of 200 = 100

25% of 200 = 150

= 150$

Hope this helps.

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