Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers. ​

Answers

Answer 1

Answer:

x= -1

y= -8

Step-by-step explanation:

Solve for y in 8x + y = -16

y = -16 - 8x

Substitute y = -16 - 8x into -3x + y = -5

-11x - 16 = -5

Solve for x in -11x - 16 = -5

x = -1

Substitute x = -1 into y = -16 - 8x

y = -8

Therefore,

x= -1

y= -8

Answer 2

Answer:

(-1, -8)

Step-by-step explanation:

SUBSTITUTION METHOD:

8x + y = -16-3x + y = -5

Solve for y in the first equation by subtracting 8x from both sides.

y = -16 - 8x

Substitute this value for y into the second equation.

-3x + (-16 - 8x) = -5

Remove the parentheses and simplify.

-3x - 16 - 8x = -5

Combine like terms.

-11x - 16 = -5

Add 16 both sides of the equation.

-11x = 11

Divide both sides of the equation by -11.

x = -1

Substitute this value for x into either equation (I'm using the first equation).

8(-1) + y = -16

Multiply and simplify.

-8 + y = -16

Add 8 to both sides of the equation.

y = -8

ELIMINATION METHOD:

8x + y = -16-3x + y = -5  

Subtract the second equation from the first equation to "cancel" the y-variable.

11x = -11

Divide both sides of the equation by 11.

x = -1

Substitute this value for x into either equation (I'm using the second equation).

-3(-1) + y = -5

Multiply and simplify.

3 + y = -5

Subtract 3 from both sides of the equation.

y = -8

The solution to this system of equations is (-1, -8).


Related Questions

Find the GCF of 4y and 12y

Answers

Answer:

4

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 12 are: 1, 2, 3, 4, 6, 12

Then the greatest common factor is 4.

Hope this helps! :D

Please mark brainlist

Answer:

4y

Step-by-step explanation:

I just took it in my math period,

tiffany is taking her end of course exam. she has completed questions 16 and the prgress bar shows 40%. how many questions are in the tesat

Answers

Answer:

40

Step-by-step explanation:

16 ÷ 40% = 40

40% of 40 = 0.4 × 40 = 16

Answer: 40

Step-by-step explanation:

Solve for x.
6
4
X
6
1
x = [?]
Enter the number, in decimal form,
that belongs in the green box.

Answers

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

  bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

  2x = 3(6 -x)

  2x = 18 -3x . . . . . eliminate parentheses

  5x = 18 . . . . . . . . add 3x

  x = 3.6 . . . . . . . . . divide by 5

_____

Alternate solution

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

Answers

Answer:

(1000,   18000) is the answer

Step-by-step explanation:

Alexander read 12 books in 3 months what was her rate of reading and months per book ​

Answers

Answer: 4 books every month

4:1

Use the Distributive Property to complete the equivalent expression.
4(y – 3) = _y - _

Answers

Answer:

4y - 12

Step-by-step explanation:

4(y-3)

4 x y= 4y

4 x -3 = -12

4y - 12

the point u(3 , -4) is reflected over the x -axis what are the coordinates of the resulting point , u'?

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

y = -2x + 3
4x - 5y = 13

Answers

I’m sorry butt I don’t understand

Answer:

letters do not belong in math

Step-by-step explanation:

1=1-2=3

What is the ratio of raisins to peanuts represented by this table
Cups of peanuts 1 2 3
Cups of raisins 2 4 6

Answers

Answer:

cups of peanuts 6

cups of raisins 12

cups of peanuts : cost of raisins

6:10

4 + 1/5r = -1
r = ?

Answers

Answer:

 r= 25

Step-by-step explanation:

1/5r= -5

1= -25r

r= 25

Martin reconditions cameras allu sens
Which equation best represents the relationship between r the cost of a reconditioned camera and n its cost when new?
A
r
= 2n
B
r
2.
С
n
=
رہاہے
D
n = p2

Answers

Answer:

B: r =n/2

Step-by-step explanation:

Recondition only mean is that half of what the new is so recondition equals the new over half because recondition is half the price of the new

Simplify the expression:
-12 - 4x + 9 + -10 + 8x

Answers

Answer:

Step-by-step explanation:

4x-13

Answer:

4x - 13 there you go!!!

Step-by-step explanation:

Ethan decided to give 10% of his monthly income to charity. This month, he wrote the calculation at right. Explain why this calculation is appropriate and finish it for him. How much money should he give this month?

Answers

Answer:

Sorry, you didn't post the equation.

Step-by-step explanation:

Maybe you could post a new and complete question?

— 6р = 48
p=
I need help please

Answers

p=- 8. Divide both sides by -6.

I need help is this complementary supplementary or nither

Answers

Answer:

The answer is supplementary angles.

Step-by-step explanation:

Identify the angle pair as complementary or supplementary.

If one angle is 60 degrees and the other angle is 120 degrees.

First, add the two angles together to find the sum.

60 + 120 = 180

Then, identify which angle pair adds up to 180 degrees.

Supplementary angles

May I please have brainliest

Please help. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Answer:

try 36?

Step-by-step explanation:

PLEASE HELP IM FAILING MATH

Answers

Answer:

$5,665

Step-by-step explanation:

First, you multiply 5,500 times 3 to get 16,500, and then divide by 100 to get 165. That is how much she earned over the past three years, but it is NOT her new account balance, because you have to add 5,500 and 165, which you would get a final sum of $5,665. I hope this helps :)

PLEASE HELP

3 dozens = _______ units

Answers

36 units
Hope this helps u hon :)

Answer:

36 unit

Step-by-step explanation:

1 dozen= 12 units

3 dozen = 12 × 3 = 36 units

Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =

Answers

Why are you cheating... I will report this to your teacher

Why are tenths, fifths, fourths, and halves easy
to express as percent?

Answers

because they all go into 100 easily. for example 10×10=100 5×20=100

2ab( 4a2 + 3ab - 7b2)​

Answers

Answer:

6ab + -3a2

Step-by-step explanation:

2ab(4a2 + 3ab - 7b2)     original problem

2ab(3ab + 4a2 - 7b2)     commutative property

2ab(3ab + -3a2)     subtract

4 - 7 = -3

6ab + - 3a2              mulitiply

2ab x 3ab = 6ab

and that is you final expression, you can't add the last 2 numbers cause they are not like terms.

Answer:

1.8ab²

2.7xy⁶

3.7x²

4.8x²+4

5.43y⁵+21

Step-by-step explanation:

yan palang po ung nasagutan ko hindi ko pa po alam kung tama pero yan na ung solution : )

Identify the correct table for the following equation: Y=3x + 7 ( look at the picture for answer choices )

Answers

Answer:

The first choice is the right answer.

Step-by-step explanation:

Y = 3x+7

First choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10

y = 3(2) + 7 = 13

second choice

y = 3(7) + 7 = 28. output on table shows 0

third choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10 doesn't work as y output in third choice says 8

fourth choice.

y = 3(7) + 7 = 28 output on table shows 0

Ravi buys an item for $1.08. He gives the cashier a $20 bill. How much money should Ravi get back?

Answers

Answer:

$18.92

Step-by-step explanation:

20-1.08=18.92

Answer:

$18.92

Step-by-step explanation:

Subtract $1.08 from $20

18.92

So Ravi should get $18.92 back

Hope this helps :)

10)
Which set of numbers is NOT in the solution set of the inequality x > 17?
A
(14, 15, 18, 25, 29)
B)
(18.21, 25, 27, 33)
D
(29.32, 35.40.55)

Answers

Answer:

a

Step-by-step explanation:

numbers all have to be greater than 17. 14 and 15 are both less than

2.
There are 300 students in year 8
35% of the students in year 8 walk to school.
How many year 8 students do not walk to school?

Answers

100%-35% = 65%
looking for 65% of 300
300 x 65% = 195
195 students don’t walk to school

what is the equivalent ratio of 2 over 9?​

Answers

There’s many answers such as 4/18 or 8/36

-20 greater than or equal to 5w

Hurry!!!

Answers

w = -4 or more because -4 times 5 equals -20.

WHAT ARE THE PRINCIPALS PLEASE HELP ME!

You have 2 different savings accounts. For Account​ A, the simple interest earned after
6 months is ​$4.63. For Account​ B, the simple interest earned after 21 months is ​$16.80. If the interest rate is ​3.7% for Account A and ​2.4% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Answers

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal or initial amount of money invested.

R represents interest rate

T represents time

Considering the investment on account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years

6.94 = (P × 3.7 × 0.75)/100 = 0.02775P

P = 6.94/0.02775 = $250

Considering the investment on account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

13.8 = (P × 2.3 × 1.5)/100 = 0.0345P

P = 13.8/0.0345 = $400

To determine the account that earned more interest in the first month,

250/9 = $27.8

400/18 = $22.2

Account A earned you the most interest the first​ month because $27.8 is higher than $22.2

a pack of 6 cans cost $12 how much will 15 cans of coffee cost

Answers

Answer:

30$ for 15 cans of coffee.

Step-by-step explanation:

$12 for 6 cans of coffee

12 divided by 6 = 2

$2 per can of coffee

15 cans of coffee times $2 = 30$

Hope this helps

5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?

Answers

Answer:

a. 12:10 pm

b. 40 mph

Step-by-step explanation:

Assuming you meant to type 1 ¹/₄ hours later.

a. First convert that to a improper fraction and then a decimal:

= 5/4

= 1.25 hours

1.25 hours in minutes is:

= 1.25 * 60

= 75 minutes

= 1 hour 15 minutes

The motorist left at 10:55.

= 1055 + 1 hour

= 11:55

Add 15 minutes:

= 12:10 pm

b. Speed = Distance / Time

= 50 / 1.25 hours

= 40 miles per hour

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