Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12​

Answers

Answer 1

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.


Related Questions

Which graph shows a line with a slope of 0?

Answers

Answer: c

Step-by-step explanation: if there is no y then its just x=-2

Answer:

c

Step-by-step explanation:

m=y/x and in this case the graph doesn't cross y so ot is valued 0

i am trying to solve question two with the graphing method but can’t figure out how because there is only y=2.

Answers

Answer: look in the explanantion :)

Step-by-step explanation:

So basically when something is y=2, that means that its just a horizontal line at the number 2

so it would just be a straight horizontal line that is located at the y point of 2

i need help please.

Answers

Answer: 2/5 or 0.4

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Evaluate the expression for the given value of x.

−6x + 5 for x= −6

Answers

The answer would be -6*-6+5 =41
(If you want me to explain I can)

Hope this helps

Have a great day/night
Answer:
41

Explanation:
-6x+5
Plug in -6 as x
-6(-6)+5
=36+5
=41

I hope this helps!


Here is a number puzzle that uses math. Some might
call it a magic trick!
Step
4
0
8
1
17
2
0) Think of a number.
1) Double the number.
2) Add 9.
3) Subtract 3.
4) Divide by 2.
5) Subtract the number you started with
6) The answer should be 3.
14
3
4
7
3
Why does this always work? You can use the table to
try stuff out!
I JUST NEED THE BOTTOM QUESTIONS

Answers

Answer:

I think it always work out because they try to manipulate the equation such that you'll get 3

you can actually use other values apart from the ones used

Which expression results in a rational number

Given

A=√12

B= 4√3

c=√49

D=√100

(1) A+B

(2) B+C

(3) D+A

(4) C+D

Answers

Answer:

C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.

Thursday night, Larry goes to the local game shop. He purchases three new video games for $15.99 each. If the sales tax is 4.5%, how much does he spend?

Answers

Answer:

15.99 X 3 = 47.97

47.97/100 X 104.5 = 50.12865

$50.13

Select the equation that is true.
25 ÷ 5 = 30 ÷ 6
49 ÷ 7 = 20 ÷ 4
36 ÷ 6 = 21 ÷ 7
12 ÷ 2 = 15 ÷ 5

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

25 ÷ 5 = 30 ÷ 6

Step-by-step explanation:

25 ÷ 5 = 30 ÷ 6

5=5

Hope this helps!

Please mark me brainliest if you can. :)

Which equation demonstrates the distributive property?
es =)
A)
36 + 9 = 45
B)
36 + 9 = 3(12 + 3)
C)
36 x 9 = 9 x 36
(12 + 3)3 = 3(12 + 3)

Answers

Answer:

c

hope this helps

What is the slope of the line?
2x - 5y = 9
Choose 1 answers
5
2
O

Answers

9514 1404 393

Answer:

  D.  2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

  2x -5y = 9 . . . . . . . given

  -5y = -2x +9 . . . . . .subtract 2x

  y = (-2/-5)x +9/(-5) . . . . divide by -5

  y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

what's the highest number - 6 and - 10 and -4 and 7 and 6 and -2​

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

in order it would be -10, -6, -4, -2, 6, 7

Hav a great day :P

Given that
x : 20 = 5 : x
Calculate the positive value of x.

Answers

673 jhsjsgsgysiusgdvzvdhgdcxvvd
X=10 because 5/10 is equal to 10/20 and both values are equivalent to 1/2.

Which ratio is the same as 2/3?

Answers

Answer:

6:15 6 to 15 it's the same o

Joe buys a compact disc that costs $29.99. He give the store clerk $50.00.

How much change should he get?

Answers

Answer:

$20.01

Step-by-step explanation:

Simply subtract $29.99 from $50.00 so, your problem should be set up like this:

You substitute the numbers with 10s, but there cannot be more than one.

Answer:

$20.01

Step-by-step explanation:

You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:

50.00 - 29.99 = ?

Then, this is what you should have after:

49.91(0) - 29.99 = ?

This is what you get after:

20.01

Then, add the dollar sign. You will get:

$20.01

Hope it helped!

Which expression is equivalent to 3(m+ 2) − 4(2m− 9) HELP ASAP

Answers

3(m + 2) - 4(2m - 9)
= 3m + 6 - 8m + 36
= 3m - 8m + 6 + 36 (now, we will group like terms).
= -5m + 42.

PLEASE PLEASE HELP ME

Answers

Answer:

length = 3√5

distance = √13

Step-by-step explanation:

length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]

length = √ 3²+6²

=√9+36

=√45=3√5

distance

d = √(x1-x2)²+(y1-y2)²

d= √(5-3)² + (-2-1)²

d=√2²+(-3)²

d=√4+9

d=√13

how do you work out the problem -1n+1=11​

Answers

Answer:

-1n + 1 = 11

subtract 1 both sides

-1n = 10

-n = 10

n= -10

Step-by-step explanation:

8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?

Answers

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18% tip on $50, what was the total cost of his meal?

Answers

62 dollars hope this helps

3x +4= 9x + 3 I need help PLEASEEE

Answers

Add 3x and 9x together and then your equation should look like this, 12x + 7

Answer:

x=-1/6

I luv u

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.

Answers

Answer:

7200

Step-by-step explanation:

100/(100-15) * 6120 = 7200

3 musical words describing silent night

Answers

The harmony lol heheheheheh

Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long. What is the distance along the ground from the truck to the end of the ramp?

Answers

Answer:

12 feet

Step-by-step explanation:

Given that,

The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long.

Now we need to find the distance along the ground from the truck to the end of the ramp.

Here,

5 feet will be perpendicular distance, 13 feet will be hypotenuse and we need to find the base.

Using Pythagoras therorem to find it :

[tex]b=\sqrt{13^2-5^2} \\\\=12\ \text{feet}[/tex]

So, the required distance is 12 feet.

Answer:

12 feet!!

Step-by-step explanation:

guy above me is right

1 - 2k + 5k <_ -4 + 3k

Answers

Answer:

No solution.

Step-by-step explanation:

1-2k+5k<-4+3k  Combine like terms on each side wherever you can.

1+3k<-4+3k        Subtract -3k on both sides (it's less confusing when you get

  -3k      -3k        rid of the variable first).

1<-4                     1 is not less than or equal to -4, so there is no solution.

I hope this helped you out!! Have a great day (*^3^)╭

FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.

Answers

Answer:

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

Step-by-step explanation:

for an equation to be parallel with another both should have the same rate of change(m).

the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)

Isolate for y:

2y+3x=8

2y=-3x+8

y=-3/2x+8/2

y=-3/2x+4

thus the slope of the line we are trying to find must also equal -3/2

use point slope form to find the equation (substitute (2, -1) into equation)

y-y1=m(x-x1)

y-(-1)=(-3/2)(x-2)

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

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

(x-6)(3x+7)
Expand and simplify

Answers

Answer: 3x^2 − 11x − 42

Step-by-step explanation:

Simplify  (x − 6) (3x + 7)

Expand (x − 6) (3x + 7) using the  FOIL Method.

Apply the distributive property.

  x (3x + 7) − 6 (3x + 7)  

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x + 7)

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Simplify and combine like terms.

Rewrite using the commutative property of multiplication.

  3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x by adding the exponents.

Move x.

  3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x.

  3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Move 7 to the left of x.

  3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7

Multiply 3 by −6.

  3x^2 + 7x − 18x − 6 ⋅ 7

Multiply −6 by 7.

  3x^2 + 7x − 18x − 42

Subtract 18x from 7x.

  3x^2 − 11x − 42


(x-6)(3x+7)
= 3x^2 + 7x - 18x - 42
= 3x^2 - 11x - 42

which equation matches this graph?

Answers

Answer: I'm pretty sure it's the second one.

Step-by-step explanation:

Sorry if it's not right I tried my best.

what's the gcf of 3x and 12x

Answers

Answer: GCF- is 3x

Step-by-step explanation:

So first you will ignore the X.

You will then find the GCF of 3 and 12.

The calculated value of the gcf of 3x and 12x is 3x

Calculating the gcf of 3x and 12x

From the question, we have the following parameters that can be used in our computation:

Expressions = 3x and 12x

Expand both expressions

So, we have

3x = 3 * x

12x = 2 * 2 * 3 * x

Multiply the common factors

GCF = 3 * x

Evaluate

GCF = 3x

Hence, the gcf of 3x and 12x is 3x

Read more about GCF at

https://brainly.com/question/17067741

#SPJ4

I need some help with this, please. Two tons of sand are put into 100-pound bags. Each bag sells for $15.00. How much is all the sand worth?

Answers

answer:

all the sand is worth $600

explanation:

two tons is 4,000 lbs, u divide that by 100 for each bag and then u multiply that number by 15 and that’s how much money all the sand is worth.

Total sand

2ton2(2205lbs)4410lbs

Total bags

4410/10044bags(Approx)

Total worth

44(15)440+220$660.00
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