Solve the simultaneous equations
5x + y = 21
3x + y = 13
X =
Y =

Answers

Answer 1

Answer:

x=? y=?

5x+y=21 equation 13x+y=13

y=13-3x

y=13-3x in equation 1

5x+(13-3x)=21

5x+13-3x=21

2x+13=21

2x=21-13

2x=8

x=8/2

x=4

x=4 in equation 15(4)+y=21

20+y=21

y=21-20

y=1


Related Questions

What is 3/8 +5/12? I need help :>

Answers

Answer:

19/24

Step-by-step explanation:

3/8+5/12

3*3/8*3+5*2/12*2

9/24+10/24

9+10/24

19/24

90% OFF original price!
Eric wants to buy a chandelier. The original price is $90. What is the sale price?
$

Answers

90% of $90 is $81, so therefore the sale price (original price - percentage) would be $9.

9 dollars. that is the answer

Question 7 Elijah is planning a circular flower garden with a 12 foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for pi)

If you don't know please don't try and help.​

Answers

Answer:

37.7 ft

Step-by-step explanation:

c=πd (circumference= 3.14*diameter)

c=3.14*12

c=37.68 ft

rounded to tenths place-37.7 ft

In A ABC, m ZA = 36°, m ZB = 45°, and m ZC = 99º. Which statement
is true?
A. CA > BC > AB
B. BC > CA > AB
C. AB > BC > CA
D. AB > CA > BC

Answers

Answer:

The true statement is AB > CA > BCD

Step-by-step explanation:

In any triangle, the longest side in length is the opposite to the greatest angle in the measure, and the shortest side in length is opposite to the smallest angle in the measure.

Let us solve the question

ABC is a triangle

∵ m∠A = 36°

∵ m∠B = 45°

∵ m∠C = 99°

→ That means C is the greatest angle and A is the smallest angle

∴ ∠C is the greatest angle and ∠A is the smallest angle

∴ The arrange of the measures of the angles is m∠C > m∠B > m∠A

AB is the opposite side of ∠C

∴ AB is the longest side

BC is the opposite side of ∠A

∴ BC is the shortest side

CA is the opposite side of ∠B

∴ The arrange of the lengths of the sides is AB > CA > BC

The true statement is AB > CA > BC

A football coach moves 12 m north, then 16 m south, then 22 m north, and finally 6 m
south.
What is the displacement

Answers

Answer: Displacement=12 m north

Step-by-step explanation:

12 m north

Let’s assume

north= positive

south=negative

12+(-16)+22+(-6)=12

Find the value of 17.64​

Answers

Answer:

4.2

Step-by-step explanation:

A park volunteer plans to work on the park's stone walls for 1 hour every Monday, 1 hour every
Wednesday, and 3 hours on Fridays. The graph shows the number of hours he plans to work for a
given number of weeks. Complete parts a through c.

Answers

Answer:

The answer is below

Step-by-step explanation:

A linear graph has an equation in the form y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y at x = 0).

a) y represent the number of hours worked and x represent the number of weeks. The points are represented in the form (x, y).

First we can find the slope of the line by picking two points from the graph. Let us use (0, 0) and (2, 10). The slope m is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{10-0}{2-0} \\\\m=5[/tex]

The slope and constant of proportionality is 5.

b) The equation can be gotten using the points (0, 0) and (2, 10). Therefore:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{10-0}{2-0}(x-0)\\\\y=5x\\\\[/tex]

c) In 16 weeks (i.e. x = 16):

y = 5x

y = 5(16)

y = 80 hours

A runner has a mass of 89 kg he produces aforce of 84 Newtons between the ground and his running shoes How fast does he accelerate

Answers

Force = mass × acceleration

acc= force / mass

84N/89kg

= 0.94m/s

The acceleration of the runner is 0.9 m/[tex]s^{2}[/tex].

We have a runner has a mass of 89 kg he produces a force of 84 Newtons between the ground and his running shoes.

We have to determine the acceleration of the runner.

What is the formula to calculate the force on a body ?

The force on a body is the product of mass and acceleration. Mathematically -

F = ma

According to the question, we have -

Force = 84 N

Mass = 89 Kg

Therefore -

F = ma

84 = 89 x a

a = 84/89 = 0.9 m/[tex]s^{2}[/tex]

Hence, the acceleration of the runner is 0.9 m/[tex]s^{2}[/tex].

To solve more questions on Force, visit the link below-

https://brainly.com/question/20841272

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Find the explicit formula.
-6, -26,-46,-66, ...​

Answers

Answer:

-20

Step-by-step explanation:

as you can see you can still see the 6s, whats the difference between 40 and 20? its 20, its like skip counting but negative, the answer couldve been "20" if it made the number go potitive but its negative so the answer is -20

(3x+23x +32) = (x+6)

Answers

Answer:

x = -26/25

Step-by-step explanation:

(3x+23x +32) = (x+6)

Combine like terms

26x +32 = (x+6)

Subtract x from each side

26x -x +32 = x+6-x

25x +32 = 6

Subtract 32 from each side

25x+32 -32 = 6-32

25x = -26

Divide each side by 25

25x/25 = 26/25

x = -26/25

The answer is x=-26/25

X(x+7)=0 solve whatever this id

Answers

Step-by-step explanation:

x(x + 7) = 0

By Zero Product rule,

either x = 0 or (x + 7) = 0.

=> x = 0 or x = -7.

What is 287.7 round to the nearest hundredth

Answers

Answer:

287.70 because if u round to the nearest hundreds all u would have to do is add a zero.

I think it's 287.70

I will mark you brainiest if you can answer this

Answers

I got you! What’s the question
Answer this! Did I win *thinking emoji face*

helpppppp it’s urgenttttttttt!!!!!

Answers

1the answer to your question is c

10. Use substitution to solve the system of equations below.
- x + 2y = 5
3x - 5y =-11

Answers

Answer:

the answer for y is 4 and x is 3

y=4

x=3

Please do this if multiple people answer I will give the best one brainliest

Answers

-5 and 1
-7 and 3
-3 and -1

PLEASE HURRY WILL GIVE BRAINLIEST TO FASTES PERSON

Answers

Answer:

First is True Second is False Third is True Fourth is False and the last one is False

Step-by-step explanation:

Please give Brainliest

what is the unit price of $5.36 for 20 oz?

Answers

Answer:

5.36/20

0.268 dollars per oz

plz brainliest :)

do you want an explanation?

simplify 4a X 6b -3c​

Answers

Try this:

24 abx - 3c

Juanita is buying a cover for her motorcycle which has a length of 7.5 feet if the covers are only sold in whole foot increments what size covers should Juanita buy

Answers

Answer:

Size of the cover should Juanita buy is 8 feet.

Step-by-step explanation:

Given: The length of the motorcycle is 7.5 feet.

To find: The size of the cover of motorcycle.

The length of the motorcycle is 7.5 feet. But the covers are only sold in whole foot increments.

So, Juanita should buy 8 feet long cover for motorcycle.

Please help me with this problem, I'll give brainliest!!
And if you want even more points can you go to my profile, then go to QUESTIONS then if you know the answer to the one underneath this one could you help answer it THANK YOU SO MUCH

Answers

The answer is 4.32x10^5

Angela purchased a storage cube with a volume of 10 cubic feet. She wants to put it on a shelf that is 24 inches tall.

A.
Yes, because the height of the cube is approximately 4.93 inches.

B.
Yes, because the height of the cube is approximately 2.15 inches.

C.
No, because the height of the cube is approximately 25.85 inches.

D.
No, because the height of the cube is approximately 39.96 inches.

Answers

Answer:

c

Step-by-step explanation:

10 cubic feets volume is equivilant o 25.85 inches.

No, because the height of the cube is approximately 25.85 inches. Option C is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing. A cube's volume can be calculated using its side cube.

Given that, Angela bought a storage unit with a 10 cubic foot capacity. It will go on a shelf that is 24 inches tall,

Volume, V = 10 cubic feet

Height, h =24 inches

The volume of a cube is found as the cube of the side.

Volume of cube = side³

V=a³

10=a³

Take a cube root of 10 to find the value of a,

a=2.15 feet

We can convert feet into inches, in one foot there are 12 inches.

1 feet = 12 inches

2.15 feet = 2.15 × 12

2.15 feet = 25.85 inches

Thus, no because the height of the cube is approximately 25.85 inches. Option C is correct.

Learn more about the volume here:

https://brainly.com/question/16788902

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A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number

Answers

The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!

Which is an equation of the line with a slope of 4 and a y-intercept of -2?

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

Y-intercepts cross the y-axis at x = 0. So, we can plug (0 , -2) into an equation with m = 4.

-2 = 4(0) + b

-2 = b

y = 4x - 2

Solve the system of equations -30 + 7y = -18 and 4x – 4y = 8 by combining
the equations.

Answers

the answer is (4/23,-42/23).
good luck!

What is slope? Check all that apply.

Answers

Answer:

B, E, and F maybe

(1+3p)(1-3p)

the answer is 1-9p²

How do i get this though?

Answers

Step-by-step explanation:

[tex](a - b)(a + b) = {a}^{2} - {b}^{2} [/tex]

simplify the product and you get

[tex] {1}^{2} - (3p {}) {}^{2} [/tex]

1 times any power automatically equals 1. So that equals

[tex]1 - (3p) {}^{2} [/tex]

=

[tex]1 - 9p {}^{2} [/tex]

3 multiplied by what gives me 55.50

Answers

Answer:

18.5

Step-by-step explanation:

Divide 55.5 by 3 (working backwards to find your answer)

Then you will get 18.5!

Answer:

18.5

Step-by-step explanation:

divide 55.5 by 3 and you get 18.5.

John called a plumber to fix a leak in his bathroom. The
plumber charged $30 to come to the house and $25 an hour
while fixing the leak. If the final bill was $105, how many
hours was the plumber at John's house?

Answers

Answer:

3 hours

Step-by-step explanation:

$105 - $30 = $75

$75 ÷ $25 = 3 hours

What is the slop in the graph?

Answers

Answer:

-2/5

Step-by-step explanation:

rise/run you count how much it rises and how much it runs

Answer:

-2/5

Step-by-step explanation:

rise over run

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