1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

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

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]


Related Questions

PLEASE FAST HELP PLS I BEG U

Answers

Answer:A.,C.,D that is the answer

Step-by-step explanation:

Ooh ig oh oh oh oh oh

A. it has no rotational symmetry
B. It has rotational symmetry with an angle of rotation of 180°
C. It has point symmetry
D It has recreational symmetry
PLEASE HELP WILL MARK BAINLIST​

Answers

The answer to the question is C.
Answer is C it has point symmetry

I need HELP ASAP RIGHT AWAY​

Answers

Answer:

line c and e

Step-by-step explanation:

Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|

Answers

Answer:

Stretch of 2/3, right by 7

how do I solve for x?

Answers

Answer:

85

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180 deg.

x + 52 + 43 = 180

x + 95 = 180

x = 85

Answer: 85

The angles in a triangle add up to 180 degrees

180 - 52 - 43 = 85

x = 85 degrees

x-4 is greater than -8 in interval notation

Answers

Answer:

x

4

=

8

=

Step-by-step explanation:

7/8 of Bill's coins are. pennies.
What % are pennies?

Answers

Answer:

87.5% are pennies

Step-by-step explanation:

7/8 = 87.5%

Hope this helps!!

Question 10 of 10
Solve 3 ax + 4ax = 5ax + 4 for x. Assume at 0.
A. X = 2
a
B. x= 2a
C. x =
За
D. X = 3a

Answers

[tex]x = \frac{2}{a} [/tex]

Step-by-step explanation:

3 ax + 4ax = 5ax + 4, combine like terms

7ax = 5ax + 4, minus 5ax from both sides

2ax = 4, divide 2a on both sides

you'll be left with x = 2/a

YOO HELPP

I’m bad at math

Answers

Answer:

i love you

Step-by-step explanation:

Answer:

1/2(n-3) or (n-3)/2

Step-by-step explanation:

Help me solve this problem please

Answers

A Line 2 the 10 is supposed to be positive

75 is what percent of 150?

If you show work you will be marked brainliest

Answers

50%

You need to convert the fraction (ratio)

Afterwards, you will get your answer!

I don't know how to upload or I would upload a picture of my work and how to do it to help you.

I hope this helps you!

Answer:

50percent

Step-by-step explanation:

75 is half of 150

BRAINLIST!!!!! Do you know the sample response?!

Answers

Answer:

The graph and equation both match and are a function. there is one specific output fro each input

Step-by-step explanation:

can i get some help plz with this

Answers

Answer:

translation then reflection is the answer

Step-by-step explanation:

7a-3(2a-4) what’s the answer?

Answers

Answer:

?

Step-by-step explanation:

Answer:

a+12

Step-by-step explanation:

Distribute the -3 to (2a-4) so you get -6a+12

then it is 7a-6a+12, which is a+12.

If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12

what is the squared root of 64?

Answers

Answer:

8

Step-by-step explanation:

Answer:

the square root is 8

Step-by-step explanation:

f(x) = -2x + 5
f ( ) = 13

Answers

Answer:

Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.

Step-by-step explanation:

so, if f (x) equals 13, you replace the x in the equation to 13.

f(x)=-2x+5

f(x)=-2(13)+5

f(x)=26+5

f(x)=31

I believe 41 would be your answer. Hope this is right and it helped!

9.85 less than the product of 37 and w

Answers

Answer:

you did not give wat you wanted us to do so I would say 9.85- (37*w)

Prove that:

( sec 4A - 1 ) / ( sec 2A - 1 )

=

tan 4A . cot A

Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help

Answers

GangbbsnnanMmajajajnqj

Answer:

sec 1A = tan 2A

Step-by-step explanation:

BABAOEY

Refer to the graph. Find the slope of each line

Answers

the top line has a slope of 2/4 which reduces to 1/2 and the second line has a slope of -1/4

Answer:

The top line has a slope of 1/2

The bottom line has a slope of - 1/4

What’s mean by report this answer

Answers

Answer:

Like make it bad.Its offensive

Step-by-step explanation:

You are going down the river at 2mph but your canoe loses a wheel. at this rate, how many boxes of pancake mix will it take to re-shingle your roof.

Answers

Answer:

The temperature of the sun is -498 K / meters square

Hope that helps!

Answer:

Um... Is this the real question or you just trolling???

Step-by-step explanation:

Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?

Answers

Answer:

$7.80

Step-by-step explanation:

$2.60 * 3 = $7.80

For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0

Answers

Answer:

B. (1) is the value of x

Step-by-step explanation:

Answer:

i got -0.5

Step-by-step explanation:

what number can be added to 55 and have 45 and 9 as thier greatest common factor?

Answers

Answer:

36

Step-by-step explanation:

Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6 ​

Answers

Answer:

A

Step-by-step explanation:

K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2

y=-2x+b

2=-2*-2+b

b=-2

y=-2x-2

y+2x=-2

The equation of the line in standard form with integer coefficients is → y + 2x = - 2.

What is the general equation of straight line?

The general equation of straight line is -

y = mx + c          

where 'm' represents the slope of the line and 'c' is the y - intercept.

Given is a line that passes through the points -

(-2, 2), (1, -4)

We can calculate the slope of the line using the two coordinates given -

(-2, 2), (1, -4). The slope will be -

m = (- 4 - 2)/(1 + 2)

m = -6/3

m = - 2

Assume that the equation of line is -

y = -2x + c

The line passes through the point (-2, 2), so we can write -

2 = -2 x -2 + c

2 = 4 + c

c = -2

So, we can write the equation of line as -

y = - 2x - 2

or

y + 2x = - 2

Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.

To solve more questions on Straight lines, visit the link below-

brainly.com/question/17986304

#SPJ2

Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

The amount of money to the nearest hundred dollars that would be in the account after 8 years is  $60,900.

What is the future value of the account?

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rate

7500 x e^0.015 x 8 = $60,900

To learn more about continuous compounding, please check: https://brainly.com/question/26476328

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Find the 62nd term of the arithmetic sequence -27, -21, -15

Answers

it’s 339 if u keep adding 6 until the 62th term

The 62nd term of the arithmetic sequence -27, -21, -15 is 339

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn =a+(n-1)d

Given the sequence -27, -21, -15

a is the first term = -27

d is the common difference = -21 + 27 = 6
n = 62

Substitute

T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)

T62 = -27 + 366
T62 = 339

Hence  the 62nd term of the arithmetic sequence -27, -21, -15 is 339

Learn more on sequence here: https://brainly.com/question/6561461

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Which inequality represents this situation?
Players must practice at least 45 minutes a day.

t 45
t ≥ 45

Answers

Answer:

t≥45

Step-by-step explanation:

If it says at least, it means fine must be greater than or equal to 45.

Simplify 4^3* 4^5 please help me

Answers

Answer:

C.

Step-by-step explanation:

add the numbers (power numbers)

=4^8

the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?


Answers

Answer:

Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100

Step-by-step explanation:

So basically:

1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.

2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.

3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.

I hope this helps:)

500
100% - 60% is 200 people
So 40% is 200 people
20% is 100 people and so 100% (full amount) would be 100 x 5 (how do you get from 20 to 100, you multiple by 5 so you do the same to the 100).
Gives you a total of 500
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