The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.

Answers

Answer 1

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer 2

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50


Related Questions

What is -100 represented in exponents

Answers

>> Exponents

____________

[tex] \: [/tex]

100 in exponent 1 - 10 :

100¹ = 100100² = 10.000100³ = 1.000.000100⁴ = 100.000.000100⁵ = 10.000.000.000100⁶ = 1.000.000.000.000100⁷ = 100.000.000.000.000100⁸ = 10.000.000.000.000.000100⁹ = 1.000.000.000.000.000.000100¹⁰ = 100.000.000.000.000.000.000

NEED HELP FAST

y=−1/3x+1

Answers

[tex]\\ \sf\longmapsto y=\dfrac{-1}{3}x+1[/tex]

Here let's compare with slope intercept form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

We get

Slope=m=-1/3y-intercept=b=1

y = mx + k

gradien = m

y=−1/3x+1

gradien = -1/3

btw, di indo jg ada gradien :)

Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?

Answers

Answer:

Step-by-step explanation:

Nina's debt = 3 * 9 = $ 27

Debt is represented using negative sign.This represents (-27) on the number line.

Answer:(-27)

Step-by-step explanation:

i got it right on edge 2022

A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.

Answers

Answer:

Solve by multiplying a scale factor of 4 to each coordinate

Step-by-step explanation:

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)

Dilation of coordinates

Dilation is a transformation technique used to change the size and shape of an object on a xy-plane.

Given the following coordinate point of a figure JKLM:

J (− 12 , 16 ),

K ( − 4 , − 3 )

L ( − 2 , 16 )

M ( 1 , 0 )

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).

Learn more on dilation here: https://brainly.com/question/10253650

Where is the velocity negative?
E
B
A
G

Answers

Hello! The answer is

D-F

The V is negative when the velocity graph goes down. Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Manuel is thinking about ordering some graphic T-shirts online. They cost $9 each, and shipping costs $8 regardless of order size. Write an equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y. Do not include dollar signs in the equation.

Answers

Answer:

y = T(x) = 8 + (9/shirt)x

Step-by-step explanation:

Represent "total amount" by T(x).  Then:

y = T(x) = 8 + (9/shirt)x

Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.

Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.

The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.

The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.

The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.

The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.

Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

Given: WX congruent yz
Prove: WYXZ

Answers

 Answer:

    Segment Addition

Step-by-step explanation:

1. WX ≅ YZ                            Given

2. XY = XY                             Reflexive

3. WX + XY ≅  YZ + YZ       Addition

4.  WY ≅ XZ                         Substitution/ Segment addition

Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages

Answers

22 x 7 = 154
She sent 154 messages

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

Find the interval(s) on which the function is negative.

y = x^2 - 6x - 16

I. (-∞, -2)
II. (-∞, 3)
III. (-2, 8)
IV. (8,∞)

A. III only
B. I only
C. II only
D. I,II

Answers

Answer:

I am going to say that it is option A.

Step-by-step explanation:

I hope this helped out a lot!

The number of seconds varies directly as the number of minutes. When 240 seconds have passed. 4 minutes have passed. If 420 seconds have passed , how many minutes have passed? ( help pls >.< )

Answers

Answer:

7 minutes.

Step-by-step explanation:

You can simply apply the well known rule if time: 60mins makes 1 hour,

or use proportion;

where x is the value you seek,

4=240

x=420

The relationship between 4 and 249 is 60 so,

420 divided by 60 equals 7 minutes.

Hope this is helpful,

if so please mark brainliest.

Can someone help me :(( thank you so so much if u do <33:)

Answers

Answer:

13

Step-by-step explanation:

8-13=-5

Answer:

13

Step-by-step explanation:

8 - 13 = -5

that is your answer

Which one of the following would prove that two triangles are congruenta

Answers

Answer:

Corroponding side lengths are equal

Step-by-step explanation:

Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.

Hope this helps :)

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.70 and the cost of a large greeting card is $4.65. How much would it cost to get 3 small greeting cards and 5 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?

Answers

C = 1.70x + 4.65y

So it would cost $28.85 to get 3 small greeting cards and 5 large greeting cards.

Because (1.70 * 3) + (4.65 * 5) = 28.85.

It would cost 1.70*xx to get xx greeting cards. And 4.75*yy to get yy greeting cards.

Pls answer question thx

Answers

There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.

There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.

12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.

12+15+20=47 Yr 12 students.

22+18+13=52 Yr 11 students.

15 Yr 12 students chose english.

20 Yr 12 students chose math.

12 Yr 12 students chose science.

There are 47 Yr 12 students total.

22 Yr 11 students chose english.

18 Yr 11 students chose math.

13 Yr 11 students chose science.

There are 53 Yr 11 students.

Solve the equations for x:


a−(a+b)x=(b−a)x−(c+bx), if b≠ 0


I need the answer for x if b≠ 0

Answers

Answer:

x=(a+c)/b

Step-by-step explanation:

a−(a+b)x=(b−a)x−(c+bx)

a-ax-bx=bx-ax-c-bx

-ax+ax-bx=-c-a

0-bx=-c-a

x=-(a+c)-/b

x=(a+c)/b and b≠ 0

as a cure to the epidemic that spread in the whole country, the department of health released a new drug that is subject for experimentation, supposed that c(t)=2tt+2 (in mg/ml) represents the concentration of a drug in a patient's blood stream in t hours, how concentrated is the drug after 2 hours of administration

Answers

Answer:

Your smart maybe

Step-by-step explanation:

If you can could you help with 27-30 please

Answers

Answer:

27. 98% of 15 is 14.7 (rounding to the nearest tenth, this would be 15)

28. 250% of 25 is 62.5 (rounding to the nearest tenth, this would be 63)

29. 108% of $50 is $54

30. 75.2% of 130 is 97.76 (this would be 98)

Step-by-step explanation:

What is the value of x

Answers

Answer:

9

Step-by-step explanation:don't use this awnser its wrong

4x - 3 = 5 X=? can anyone tell me please

Answers

Answer:

x = 2

Step-by-step explanation:

4x - 3 = 5

4x = 8

x = 8/4

x = 2

------------

4 (2) - 3 = 5

8 - 3 = 5

5 = 5

answer: x = 2

Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?​

Answers

Answer:

$ 500

Step-by-step explanation:

Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)

What is the equation of the line that passes through the point (-8,-7) and has a slope of 1?

Answers

Answer:

y = x + 1

Step-by-step explanation:

what is the perimeter of 10cm length and 8cm width of a rectangle ?

Answers

Answer:

36 cm

Step-by-step explanation:

rectangle perimeter = sum of all the side

10+8+10+8=36 cm

Answer:

Step-by-step explanation:

Perimeter =2(10+8)=36 cm.

A construction company can remove 6 3/4 metric tons of dirt from a construction site in 1 7/8 hours. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

567

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x2=4-2 =2

order the set of numbers from least to greatest. 7.59 7.5% 7 49/50

Answers

Answer:

The correct answer is 7.5%, 7.59, 7 49/50

Step-by-step explanation:

Hope This Helps!

Answer:

7 49/50, 7.59, 7.5%

Step-by-step explanation:

7 49/50=7.98 if you solve the fraction

7.5%=0.075 if you move the decimal two places

Hope this helps :)

a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

£9500 + £25000 + £13250 + £12750 + £29500 + £11000 = £101000

£101000 divided by 6 = £16833.33333

rounded to 2dp. = £16833.33

i need help with this

Answers

The given angles are complementary, therefore:

(5r + 5) + (8r -6) = 90°

13r - 1 = 90
13r - 1 + 1 = 90 + 1
13r = 91

13r/13 = 91/13

r = 7

2x^2 - y^2+ xy Phân tích đa thức thành nhân tử

Answers

cihfoufiyfoffuutgjkao

Someone plz help me :(

Answers

Answer: 5 : 12

Step-by-step explanation:

the total flower = 5 + 7 = 12

so tulips to total flowers = 5 : 12

please give me a brainliest answer

Answer:

the answer is D

Step-by-step explanation:

hopefully im right

please help me, what is this

Answers

Answer:

Proof:

In ΔCDB

∵ The sum of all angles of triangle = 180°

∴ m∠B + m∠C + m∠D = 180°

R3. Their sum = 180 (They form straight angle)

S4. ∠B + ∠A = 180°

R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)

PLEASE CAN ANYBODY HELP

Answers

Answer:

it should be 2.9 .

Step-by-step explanation:

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