Find the solution of the system of equations.
2.x + 4y = -14
– 2y = 9

Answers

Answer 1

Answer:

x = 4, y = -9/2 (-4.5)

Step-by-step explanation:

Using the second equation, we can divide both sides by -2 and get

y = 9/-2

y = -9/2

Then, we plug this y value into the first equation and get:

x + 4(-9/2) = -14

Simplify:

x - 18 = -14

x = 4


Related Questions

The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale

Answers

Step-by-step explanation:

28 dollars is the answer

(2.1 x 10^2) x (3.0 x 10 ^4)

Answers

Answer: 6,300,000

Step-by-step explanation:

First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to

(2.1 x 100) x (3.0 x 10000)

210 x 30000

6,300,000

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?

Please try as much as possible to explain your answers.

Answers

Answer:

19

Step-by-step explanation:

(48 - 23) + 6 = 31

23 - 6 = 17

(48 - 23) -6 = 19

The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

It is given that:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Based on the information we can draw a Venn diagram:

From the Venn diagram:

A + B = 17 + 6

A + B = 23

B = 6

A + B + C = 48

A = 23 - 6 = 17

C = 48 - 17 - 6

C = 25

The total number of pupils who only study Government = 25

The total number of pupils who study Government = 25 + 6 = 31

The total number of pupils who study Economics only = 17

Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ2

How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.

1 There is one solution, because the coefficients of the variables on both sides of the equation are different.

2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.

3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.

4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

I think 2? maybe 1.

Step-by-step explanation:

because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0

what is the answer when you round 522 254 to the nearest 10​

Answers

Answer:

522250

How to round to the nearest tenth:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.

For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.

3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.

A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]

Answers

Answer: 14

Step-by-step explanation:

The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:

m=4-(-10)/9-8

m=4+10/9-8

m=14/1

m= 14

Adam is scuba diving. He descends 5 feet below sea level. He then descends the same distance 4 more times. What integer represents Adam's new DISTANCE from sea level?
O -25ft
O 20ft
O 9ft
0 -20 ft​

Answers

Answer:

-20 ft

-5×4= -20

-5ft×4= -20ft

He is five feet below sea level. He descends 4 more time which is 5*4 = 20. So, -5 (below the sea level) -20 (for descending more) which is 25 feet below the sea level.

A, b, c or d?????? Pls help quick

Answers

Answer:

The answer is a

Step-by-step explanation:

have a nice day :)

The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.​

Answers

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

If the original quantity is 10 and the new quantity is ​14, what is the percent​ increase?

Answers

Answer:

40% increase

Step-by-step explanation:

10 is you 100%

if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%

A child's weight was 200% what it was at age 3. by what percent did the child's weight increase by

Answers

Answer:

The child's weight increase by 66.7%

(2,4) is perpendicular to y:2x

Answers

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Multiply (−7) × (2) × (−2).

−28
−14
28
14

Answers

Answer:

Your answer is 28

Answer:

The answer is 28

Step-by-step explanation:

Hope it helps

Simplify −n+(−4)−(−4n)+6

Answers

Answer:

2+3n

Step-by-step explanation:

-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3n

Can someone pls help me

Answers

Answer:

6

Step-by-step explanation:

[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=117-81[/tex]

[tex]\\ \sf\longmapsto P^2=36[/tex]

[tex]\\ \sf\longmapsto P=6[/tex]

Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45

Answers

Answer:

Together, Jill and Sam read 36 pages.

Step-by-step explanation:

9 + (9 * 3)

9 + 27

36

Answer:

27

9x3 is 9+9+9 then its 27

How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2

Answers

Answer:

A

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y

guys pls help me!!!!!!

Answers

x=167⁰ (alternate or z angles)

Determine the equation of the line.

Answers

Answer:

y = 5x -10

Step-by-step explanation:

The y-intercept is -10, as in, the line on the y-axis is at -10

The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:

y = 5/1x - 10

Solve.

6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19

Group of answer choices

5 plus-or-minus square root of 3

5 plus-or-minus square root of 10 over 3 end root

13 over 2

Answers

Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]

The translation of the problem given is:

[tex](x - 5)^2 + 1 = 19[/tex]

Then, solving:

[tex](x - 5)^2 = 18[/tex]

[tex]x^2 - 10x + 25 = 18[/tex]

[tex]x^2 - 10x + 7 = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:

[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]

[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]

[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]  

[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:

[tex]x_1 = 5 + 3\sqrt{2}[/tex]

[tex]x_2 = 5 - 3\sqrt{2}[/tex]

The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/13094243

Help please, i just need help.

Answers

Answer:

Your answer is 28/9 or the last one.

Step-by-step explanation:

28/9 = 3.111111111111.......

Bags are filled with bird food at a rate of 420 grams per second.
How many 20 kg bags can be completely filled in 4 hours?

Answers

Answer:

302

Step-by-step explanation:

420(grams per sec)x60(seconds in a min) = 25,200(grams per min)

25,200x60(min in an hour) = 1,512,000(grams an hour)

1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)

1,512/20 (size of bag) = 75.6 (bags filled per hour)

75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours

Which of the following shows a correct estimate for 26% of 78?

Answers

Answer:answer is 13

Step-by-step explanation:

So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13

The perimeter of a triangle is (x
3 + 2x
2 − x − 1) cm. The lengths of two sides are

(7x
3 + 12x − 7) cm and (2x
3 − 3x
2 + 5x − 11) cm. Find the length of the remaining side of

the triangle.

Answers

Step-by-step explanation:

A=7x+3+13x-7

B=2x+3-3x

P=x+3+2x+2-x-1(hope those are the numbers)

C=?

7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1

22x-1+C=2x+4

C=2x+4-22x+1

C=-20x+3

Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest

Answers

The answer is 58 i hope this helped you and didn’t make you fail lol

Please help, I’ll mark your answer as brainliest!

Answers

the answer would be
7b+4

Factor 1/2 out of (1/2d + 6)

Answers

Answer:

6/7

Step-by-step explanation:

i watched a video

eight times the difference of a number and 7. write in algebraic expression.

Answers

Answer:

8(n - 7)

Step-by-step explanation:

let the number be n then the difference of n and 7 is n-7

8 times this difference is

8(n - 7)

Answer: 8(n-7)

Step-by-step explanation:

it should be that <3

The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.

Answers

Answer:

F=36

Step-by-step explanation:

F= 12 times 9 divided 3 = 36

The question requires calculating the objects mass in kilogram (kg)

The mass in kg of the objects is 4 kg

Given:

F = ma

Where,

F = Force (N)

M = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

Read more:

https://brainly.com/question/25250873

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