Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?

Answers

Answer 1

9514 1404 393

Explanation:

2a+7b=0 . . . . . . . . given [eq1]

3a−5b=31 . . . . . . . .given [eq2]

10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]

21a−35b=217 ​. . . . .multiplication property of equality 7×[eq2] = [eq4]

31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]

a = 7 . . . . . . . . . . . . division property of equality (÷31)

2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]

14 + 7b = 0 . . . . . . . properties of real numbers

7b=−14 . . . . . . . . . . addition property of equality; add -14

b=−2 . . . . . . . . . . . . division property of equality (÷7)


Related Questions

The graph of f(x)=x is given which graph represents g(x)=1/3x

Answers

Answer:

Where are the graphs

Step-by-step explanation:

Need serious help with this!!!!!!!!!!!!!!!!!!!

Answers

192 miles is how far it travels

Answer:

240 miles

Step-by-step explanation:

64x3 =192

3/4 of 64 is 48

192 + 48 = 240

please help solve this but don't spam ( Transposition method )​

Answers

Answer:

x = -⁷/9

Step-by-step explanation:

[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]

Multiply both sides by 3

[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]

[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]

Multiply both sides by 2

[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]

[tex] 2(9x - 8) = 3(9x - 3) [/tex]

[tex] 18x - 16 = 27x - 9 [/tex]

Subtract 27 from each side

18x - 16 - 27x = 27x - 9 - 27x

-9x - 16 = -9

Add 16 to both sides

-9x - 16 + 16 = -9 + 16

-9x = 7

Divide both sides by -9

-9x/-9 = 7/-9

x = -⁷/9

5) 15 – 3(x + 2) ??????????????????????

Answers

Answer:

-3x + 9

Step-by-step explanation:

Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!

Answers

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?​

Answers

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation:

Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point

Answers

Answer:

84 cars

Step-by-step explanation:

Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then

number of black cars = 3T/4, other = T - 3T/4 = T/4

If 4/7 of the remaining cars are blue then

the number of blue cars = 4/7 * T/4 = T/7

Remaining cars = T/4 - T/7

= (7T-4T)/28

=3T/28

Given that the remaining cars are sliver and the number of silver cars is 9 then

3T/28 = 9

Cross multiply

3T = 28 * 9

Divide both sides by 3

T = 28 * 9 / 3

= 28 * 3

= 84 Car

an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100

Answers

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051

Answers

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.

Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Answer:

I think it would be 25m + 10b = 400

Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,

Answers

Odpowiedź:

Prosimy sprawdzić wyjaśnienie

Wyjaśnienie krok po kroku:

Na numer: 20

a.) 10% więcej;

(1 + 10/100) * 20;

1,10 * 20 = 22

b.) 20% mniej

(1 - 20/100) * 20

0,8 * 20 = 16

c.) 50% mniej

(1 - 50/100) * 20

0,5 * 20 = 10

Dla numeru 60:

a.) 10% więcej;

(1 + 10/100) * 60;

1,10 * 60 = 66

b.) 20% mniej

(1 - 20/100) * 60

0,8 * 60 = 48

c.) 50% mniej

(1 - 50/100) * 60

0,5 * 60 = 30

Na numer 150;

a.) 10% więcej;

(1 + 10/100) * 150;

1,10 * 150 = 165

b.) 20% mniej

(1 - 20/100) * 150

0,8 * 150 = 120

c.) 50% mniej

(1 - 50/100) * 150

0,5 * 150 = 75

Dla numeru 300;

a.) 10% więcej;

(1 + 10/100) * 300;

1,10 * 300 = 33%

b.) 20% mniej

(1 - 20/100) * 300

0,8 * 300 = 240

c.) 50% mniej

(1 - 50/100) * 300

0,5 * 300 = 150

PLEASE HELP ME WITH THIS QUESTION!!!!

ILL GIVE 20 POINTS

Answers

Answer:

D. This was the first time Judicial Review took action in court.

Step-by-step explanation:

Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2

Answers

Answer:

C) -7/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6

simplify -14/6 to -7/3

y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions

Answers

Answer:

One Solution

Step-by-step explanation:

Trust me

150 miles in 6 gallons

Answers

Answer:

uh thanks for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.

For an average person:

1 mile = 2,000 to 2,500 walking steps

1 km = 1,250 to 1,550 walking steps

10,000 steps = 4 to 5 miles

Answer the photo below thanks

Answers

Answer:

you have it marked correctly-A.1,2

Step-by-step explanation:

they are the same only flipped around

Answer:

A . 1 and 2

Step-by-step explanation:

count the squares

HELP PLS!!! make sure to submit a pic of the graph!
Graph the piecewise function.

Answers

Answer:

I cant graph on here

Step-by-step explanation:

Answer:

3x-5 if x≤-1    = Green

-2x+3 if -1<x<4   = Orange

2 if x≥4  = Purple

help plssss i give brainliest

Answers

Answer:

(7, - 2 )

Step-by-step explanation:

Given the 2 equations

x = - 3y + 1 → (1)

- 3x - 3y = - 15 → (2)

Substitute x = - 3y + 1 into (2)

- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side

9y - 3 - 3y = - 15

6y - 3 = - 15 ( add 3 to both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Substitute y = - 2 into (1) for corresponding value of x

x = - 3(- 2) + 1 = 6 + 1 = 7

solution is (7, - 2 )

Enter the value of 12x-2 when x = 3.

Answers

Answer:

34

Step-by-step explanation:

12(3)-2

36-2

34

Answer:

im sorry if this is wrong but i think its 2

Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 times as many messages as alan. How many messages did they each send?

Answers

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

solve the problem: -10 + +10 =

Answers

It equals zero negative plus positive equals zero

Answer:

0

Step-by-step explanation:

-10+ + 10

-10+10

0

i need help ASAP 6th grade work!!!!! HELP

Answers

Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7

Find the area of each composite figure.

Answers

Answer:

89.14 Sq . meter

Step-by-step explanation:

Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :

4 metres × 16 metres

= 64 sq. meter

Area of semicircle :

(pi×r^2)/2

= {(22/7)× (8/2)^2}/2

= (22×4×4)/(7×2)

= 176/7

= 25.14 sq. meter

Now , area of whole figure= (64+25.14)sq. meter

= 89.14 sq. meter

Help me for a cookie

Answers

Answer:

145 degrees

Step-by-step explanation:

1. A straight line is 180 degrees

2. 180-35=145

which is bigger or equal 6 gallons or 96 pints

Answers

Answer:

96 pints

Step-by-step explanation:

Please help asap I will give you brainliest Find the area of the shaded region

Answers

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.

Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato

Answers

Answer: what is the question

Step-by-step explanation:

Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD

Answers

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)

Answers

Eeeeeeeeeeeeeeeeeeee
3a2+30a-2a-20=3a2+28a-20
6b2+15b-30b-75=6b2-15b-75
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