Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=

Answers

Answer 1

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)


Related Questions

A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?

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Answer:

mwe.n pa konen men tenyen ooooo

What is the slope of the line given by the function f (x) = 7 – 2x?

Answers

Answer:

I am not certain but I think it is -2 give that a try and hope it helps!

is this correct? ILL MARK YOU BRAINIEST

Answers

Answer:

yes

Step-by-step explanation:

This is correct.

Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.

[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]

[tex]3.0*10^{-5}[/tex]

So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.

I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.

Answers

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

Please help!!!!!!!! #1

Answers

Answer:

its d , because your distributing the 5 into what's in the parenthesis .

please tell me the answer

Answers

Answer:

(3.5, 3) and (0,-4)

Step-by-step explanation:

Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)

please help please help please help please help please help please help please help please help

Answers

Answer:

two

Step-by-step explanation:

ilxzc d cd cf trdc4rter

In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.

Answers

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Solve this equation.
24 + 0.44x = 19 + 1.69x

Answers

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

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PLEASE HELP URGENTLY!!! I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT.

Answers

Answer:

f(-2) = -1

Step-by-step explanation:

Look at x = -2 and find the value of y.

Has this app helped u​

Answers

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Yes it helped me a lot what about you?

Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line​

Answers

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

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Is anyone else taking Algebra 2 honors on Edge nuity? let me know!!!!

Answers

Answer:

Nope

Step-by-step explanation:

I'm in 7th grade.

The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1

Answers

2x + 3 = 2y + 5, solve for x

2x = 2y + 2

x = y + 1

Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

×100

The formula

8.7

8.6

8.6

×

100

8.6

∣8.7−8.6∣

×100

Plug in values

0.1

8.6

×

100

8.6

∣0.1∣

×100

Subtract

0.1

8.6

×

100

8.6

0.1

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

Susan made $204 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?

Answers

Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.​

Answers

Answer:

The slope is 3/4 and the y-intercept is -5.

Step-by-step explanation:

Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!

Helpp me plzzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?

Define a variable, write an equation, then solve.

Answers

Answer:

7308

Step-by-step explanation:

348 times 21 = 7308

Sorry if this is wrong.

A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

y = mx + b

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + 3

plz help
Functions f, g, and h are defined as follows: f(x) = x +1, g(x) = x^2 +1, and h(x) = x^3 +1.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(3)

Answers

Answer:

a. let the gx be x

g(x) = x^2+1

or, x^2+1=y

or, x^2= y-1

:. x=2 root y-1

inter changing the relation of xand y

:. x=2 root y-1

:. g-1(x)= 2root x-1

b.

HURRYYYYY!!!!
Which system of linear inequalities is graphed?

Answers

the answer is d (i’m typing this out because my answer has to be longer than 20 characters lol)

yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help

Answers

Answer:

49 words per minute

Step-by-step explanation:

2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute

May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

                                         = (36×3)/2 words per minute

                                         = 54 words per minute

Hence, the typing speed of Yousef in a minute is 54 words per minute.

Learn more about Division:

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Find the inverse of the function f(x) = 2x - 4

Answers

The correct answer is f^-1(x)=1/2x+2.

1. Substitute y for f(x). ( y=2x+4 )

2. Interchange the variables x and y. ( x=2y-4 )

3. Swap the sides. ( 2y-4=x )

4. Move the constant to the right. ( 2y=x+4 )

5. Divide both sides by 2. ( y=1/2x+2 )

6. Use substitution to substitute f^-1(x) for y.

Thus the inverse is f^-1(x)=1/2x+2

at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students​

Answers

Answer: D.

Step-by-step explanation:

Can it help you.



I need help plzzzzzzzzzzzzzzzzz

Answers

Answer:

x=21

Step-by-step explanation:

I think we are supposed to assume that is a right angle which means 90-6= 84

84/4= 21

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

help memememememe memememememe memememememe memememmeme

Answers

Answer:

43

Step-by-step explanation:

48/(2^3+4)*10.75

48/(8+4)*10.75

48/12*10.75

4*10.75

43

Answer:

It is 43

Step-by-step explanation:

Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number

Answers

Answer:

600

Step-by-step explanation:

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