Mathematics High School

2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer 1

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer 2

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

Related Questions

Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8

Answers

Answer:

B, D and E

Step-by-step explanation:

The first triangle inequality theorem states:

the lengths of any two sides of a triangle must add up to more than the length of the third side.

So as long as the sum of the two shortest is greater than the longest side a triangle is possible

А

7 + 9 < 17  NO

B

2 + 7 > 8   YES

C

1 + 3 < 5   NO

D

3 + 5 > 6   YES

E

12 + 12 > 13  YES

F

3 + 8 = 11    NO

Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?

Answers

Answer:

$900

Step-by-step explanation:

3% of 6,000 is 180

so, he earns $180 per annum

5 YEARS LATER

he has been earning $180 every year, so,

180+  180+ 180+ 180+ 180, or 180*5

$900

Hope this helps!

a restaurant bill is $53.15. what is the estimated total cost of the bill with a

15% tip?


not a multi choice you enter a answer !

Answers

Answer: the answer is 7.95 because 15% tip on 53.15 is 7.95

Emilino needs to arrange chairs for a drama club

meeting at his school. There are 30 students coming.

What

are the different ways he can arrange the chairs so that each

row has the same number of chairs?

This is the same as saying "find the factors of 30". There

are 5 different ways.

Answers

Answer:

(1 row & 30 columns) (2 rows & 15 columns) (3 rows & 10 columns) (5 rows & 6 columns) (6 rows & 5 columns)

Step-by-step explanation:

1 * 30 = 30

2 * 15 = 30

3 * 10 = 30

5 * 6 = 30

6 * 5 = 30

Simplify the expression 8h + (-7.7d) -14 + 5d - 2.4h.

Answers

Answer:

8h - 7.7d - 14 + 5d - 2.4h

5.6h - 2.7d - 14

Answer:

8h+-7.7d-14+5d-2.4h

Combine -7.7d and 5d to get -2.7d.

8h-2.7d-14-2.4h

Combine 8h and -2.4h to get 5.6h.

5.6h-2.7d-14

Step-by-step explanation:

id k

what is the value of x?​

Answers

[tex] \large \text{answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

' X ' has no value, v should consider x has ' 1 '

-7/10 + 7 2/3
show all ur work

Answers

Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

PLSSSSS HELP MEEEEEE DUE TODAY!!!!!

Answers

Answer:

4/5 or .8

Step-by-step explanation:

1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

710

Step-by-step explanation:

81+74+72+66+67+72+66+66+72+65+71= 701

701 rounded to the nearest tenth is 710

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

You save $0.09 at Quick Mart for price per apple

Step-by-step explanation:

Quick mart = 1.17/3 = $0.39 per apple

Shop & Save = $0.48

$0.39 - $0.48 = $0.09

You save $0.09 per apple at Quick Mart

-Chetan K

i think 2.40$ or 3.40$ or some kind of money

Use the diagram to the right for questions 16 - 20.
MNP ~ SRP

Answers

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

о
3. Aspect Ratios (Tires)
If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,
how fast are you actually going if your speedometer is reading 53 mph?
a
44.2 mph
b. 63.6 mph
c. 60.8 mph
d. 53 mph

Answers

i believe the answer is i had this question the other day C. 60.8

Identify two opposite rays.​

Answers

Answer:

B and D

Step-by-step explanation:

opposite rays 180° to each other

here B and D are opposite rays

Answer:

B and D

Step-by-step explanation:

Each opposite ray need 180 degree.

Express in the form n:1

12:2

Answers

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

The answer should be 6:1

!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

Plzzz help meeee plzzzzzz

Answers

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

a)

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

b)

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

c)

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

3. George is at the craft show selling homemade ice cream. He must pay

$45 for a booth rental and costs him $3.50 to make each Ice cream

cone. He sells each ice cream cone for $5.00.

The inequality 45 + 3.50c < 5c represents the situation in which George

makes a profit

a). Will George make a profit if he sells 29 cones? Explain why or why not.

Answers

Answer:

no 146.5 > 145

Step-by-step explanation:

I WILL GIVE BRAINLIEST

Answers

Answer:

= -3x +3

Step-by-step explanation:

like terms (7x) -(4x)

or 7x + -4x = -3x

no like terms to condense 3

2÷2563783939282727262626266262534434262788900

Answers

Answer:

128189196964136363133131267217131394450

Step-by-step explanation:

hope this is helpful

what 1.9 divided by 4

Answers

1.9 dived by 4 = 0.475

Answer:

0.457

Steps bye step explanation:

Find the number that makes the ratio equivalent to 2:5.

Answers

Answer:

Answer: The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.

13 What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
A-3x+y=-14
B -3x+y=-6
C 3x+y=18
D 3x+y=22

Answers

Step-by-step explanation:

the general equation of a line is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

6 = -3×4 + b = -12 + b

18 = b

so, the full line equation is

y = -3x + 18

which is answer C : 3x + y = 18

2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11

Follow me and hope it helps

#The spirit of learning

evaluate -4(5-(36÷4))​

Answers

Answer:

16

Step-by-step explanation:

- 4 ( 5 - ( 36 ÷ 4 ) )

= - 4 ( 5 - 9 )

= - 4 ( - 4 )

= - 4 * - 4

= 16


-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve

Answers

Answer:

Elimination and y=4 x=6

Step-by-step explanation:

a box is shaped like a cube.the box a length of 1 foot, a width of 1 foot and a height of 1 foot. what is the volume of the box

Answers

Answer:

1 ft^3

Step-by-step explanation:

Answer:

1 ft^3

Step-by-step explanation:

Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.

what is f (x) = (3x^4 +1) ^2

Answers

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

help meeeee it's some math stuffff

Answers

SAS or AAA or SSS

Side or Angle

Please help me with this.

Answers

Answer:

D

Step-by-step explanation:

a,c,d are same but b is different.

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Answers

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

[tex]a+c = 12[/tex] (1)

[tex]2\cdot a + 3\cdot c = 33[/tex] (2)

Donde:

[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746

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