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

violet buys cheese and potatoes at the store. she pays a total of $19.30 . She pays a total of $5.58 for the cheese . She buys 4 bags of potatoes that each cost the same amount . How much does each bag of potatoes cost?

Answers

Each bag of potatoes is $3.43 I believe !!

The total of h and b is split into 5 equal groups?

Answers

Answer: (h + b) ÷ 5

Step-by-step explanation:

First add h + b (h +b)

Then divide by 5. (h + b) ÷ 5

Solve the equation below for X
1/3(-x + 3) = -x - 4

Answers

Solve the equation below for X

1/3(-x + 3) = -x - 4

Answer: x = -15/2 = -7.500

Work~~

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3*(-x+3)-(-x-4)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  1              

 (— • (3 - x)) -  (-x - 4)  = 0

  3              

STEP

2

:

Equation at the end of step 2

 (3 - x)    

 ——————— -  (-x - 4)  = 0

    3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

             -x - 4     (-x - 4) • 3

   -x - 4 =  ——————  =  ————————————

               1             3      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -x - 4  =   -1 • (x + 4)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3-x) - ((-x-4) • 3)     2x + 15

————————————————————  =  ———————

         3                  3  

Equation at the end of step

4

:

 2x + 15

 ———————  = 0

    3  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x+15

 ————— • 3 = 0 • 3

   3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x+15  = 0

Solving a Single Variable Equation:

5.2      Solve  :    2x+15 = 0

Subtract  15  from both sides of the equation :

                     2x = -15

Divide both sides of the equation by 2:

                    x = -15/2 = -7.500

One solution was found :

x = -15/2 = -7.500

If you get half of 10 dimes, you get ??? Cents

Answers

Answer:

EZ

Step-by-step explanation:

50 CENTS

PLZ BRAINLEST

Answer:

Half of 10 is 5, dimes are worth 10 cents each. So you'll have either 5 Dimes or 50 cents

Step-by-step explanation:

The elevator in a new building travels a maximum distance of 32 meters. Find the estimated distance traveled in yards.

Answers

Answer: 32 m to yards

equals 34,996

Marley's flight is scheduled to travel 2,937 miles in 5.5 hours. At what rate
will the plane have to travel to complete the trip on time?

Answers

Answer:

534 miles every 1 hour

Step-by-step explanation:

Approximately how much
would an item cost in 2000 if it
cost $100 in 1990? Round
your answer to the nearest
cent.

Answers

Answer:

I believe the 100 dollars in 1990 would be worth 131.75 dollars in the 2000's

A candy company packs candy in cases of 544 pieces each. How much candy will be in 26 cases?

Answers

Answer: 544 divided by 26 = 44

Step-by-step explanation:

Divide 544 by 26 and get 20 with a remainder of 24. Add the remainder to 20 and get your total.

Hope this helps.

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate

Find his average speed in kilometers per hour.

Answers

Answer:

12 2/3 KMPH

Step-by-step explanation:

3 1/6 x 4 (reciprical of 1/4) = 12 2/3

Explain how to write and evaluate the algebraic expression 13 less than the quotient of forty and a number; evaluate when n=2

Answers

Answer:So you would start with 40/n because quotient means division and then it would be (40/n) - 13  (40 divided by n then minus 13) because the answer is thirteen less than the quotient of those numbers. since it wants you to evaluate for n=2 you would do 40/2 which is 20 then subtract 13 which is 7.

So write the expression as (40/n) -13 and when you evaluate just stick the 2 where the n is for (40/2) - 13

                               20 - 13

                                  = 7

Step-by-step explanation: HOPE THAT THIS WILL HELP YOU ❤️

Answer:

Here's an answer I used <3

Explanation:

You would then get to 40/n because quotient means division, then 40/n-13 because the outcome is 13 below the quotient. You can divide 40 by 20 to get 20, then 13 to get 7 because it asks you to test n=2.

If Sophie gets $26.00 and Jack gets four times the amount as Sophie. How much do Jack get?​

Answers

Answer:

he gets 104$

Step-by-step explanation:

104 dollars

26x4=104

Answer:

Step-by-step explanation:

Times means multiple so 26 x 4 and that equals 104. $104 dollars would be your answer.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 14
and DC = 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)

Answers

You got same mine is the that on the quiz

There are 300 audience members at an opera and 26 are wearing bowties. a) How many audience members are not wearing bowties? What is the universal set for this scenario?

Answers

Answer:

300-26=274

The opera

Step-by-step explanation:

hope helps

Find the slope of the line between each pair of points (7, -4) and (7, -1)

Answers

Answer:

the slope is -3/0, which is undefined

Step-by-step explanation:

subtract the ys and subtract the xs and put y/x

anything divided by 0 is a math error (not to b confused with 0 divided by, which is just 0)

Hope this helps :)

I need help it’s this if you awnser correctly I will mark you

Answers

Answer:

b, x = 17

Step-by-step explanation:

A right angle (as shown by the box in the corner of the angle) is 90°.

So, the two angles have to add up to 90°.

22 + 4x = 90

Subtract 22 from both sides.

4x = 68

Divide both sides by 4.

x = 17

The answer is b, 17

Hope this helps! Feel free to ask any questions! :)

Answer:

B.) 17

Step-by-step explanation:

90-22=68

68/4=17

Brainliest please

A window is 28 inches wide. What is the width of the window in
feet?

Answers

Answer:

2 ft 4 in

Step-by-step explanation:

12 in in a foot

2 1/3 feet because 12 inch in a foot and 4/12 left

If a car travels at 55 mph for 3.5 hours, what is the total distance traveled?
Remember, d = rt.

Answers

Answer:

192.5 miles

Step-by-step explanation:

55 miles per hour x 3.5 hours = 192.5 miles

Answer:192.50

Step-by-step explanation:

On an exam a student earned a grade of 80. On the retake they earned a grade of 100. What is the percent increase in the grade?

Answers

Answer:

25%

Step-by-step explanation:

Percentage increase from 80 to 100 making the increase 25%

Answer:

16 percent sorry if im wrong i tried

Step-by-step explanation:

determaine the slope of the line above A. 1/2 B. 2/3 C. 3/2 D. 1

Answers

Answer: I think its B instead of A

Answer:

2/3

Step-by-step explanation:

solve for x 1/4 x equals 5​

Answers

Answer:

gcccccccccccccccccccccccccccccccccccccccccccccccccccavrfcxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqer

Step-by-step explanation:

What quadrilaterals diagonals are congruent but neither of them is bisected by the other.

Answers

Answer:

rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other

A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.

Answers

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

What is a dot plot and how do you read it? Check all that apply. O A dot plot displays data values as dots number line. O Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. I There were 0 runs in 2 of the games. O Dot plots show the distribution of the data. There were a total of 19 games.​

Answers

Answer:

the first third and 5th one i think, check my answer first XD

Step-by-step explanation:

will give brainlist geometry

Answers

Direct answer :[tex]\color{plum}\boxed{\tt Statements : }[/tex]Segment AB = Segment AD Segment BC = Segment DCAngle B and Angle D are equal.Segment AC bisects angle BAD Segment AC = Segment AC∠ACD = ∠ACB△ABC≅△ADC under ASA congruence criterion. △ABC≅△ADC under SAS congruence criterion.

[tex]\color{plum}\boxed{ \: \tt Reasons : }[/tex]It is given.It is given.It is given. They are also equal because the bisector AC bisects angle BAD and divides it into two equal angles which are angle B and angle D.It is given. Common side.Common angle.Two angles and one included side is equal so these two triangles are congruent under the ASA congruence criterion. Two sides and one included side is equal so these two triangles are congruent under the SAS congruence criterion as well.

Steps to derive these statements and reasons :

Given :

segment AB = segment ADsegment BC = segment DC∠B =∠Dsegment AC bisects ∠BAD

This means that △ABC≅△ADC under the SAS congruence criterion because according to this criterion if two sides and one included angle is equal two triangles are congruent and since these two triangles fulfill these rules they are said to be congruent under the SAS congruence criterion. But they are also congruent under the ASA congruence criterion which states that if two angles and one included side is equal two triangles are congruent. Since △ABC and △ADC fulfill these rules too they can said to be congruent under the ASA congruence criterion.

the equation of the line please

Answers

Answer:

x = 4

Step-by-step explanation:

The line is a vertical line. The equation of a vertical line is represented as x = k.

Where, k is the point at where the line intercepts the x-axis.

In the graph given, the line intercepts the x-axis at 4. k = 4.

Therefore the equation of the vertical line would be:

x = 4

please I really need help​

Answers

I think A and E, but I’m not positive

Sixty-four teams entered a citywide soccer tournament. Half of the teams are eliminated after each round. Write a function for the number of teams left after x rounds.

Answers

Answer:

x = (64 ÷ 2) ÷ r

Step-by-step explanation:

x = teams

r = rounds

hope this helps :)

Answer:

f(x)=-1/2x+64

Step-by-step explanation:

a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64

please answer :) will give brainlst

Answers

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

Marta told Maribel “The sum of fifty and half the number of oranges is the same as one-hundred-twenty.” Maribel wrote 50 (one-half) + m = 120 What is her error?

Answers

Answer:

Her error was that the half should have been multiplied by m, instead

[tex]50 + \frac{1}{2}m = 120[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = 50[/tex]

[tex]Rate = 0.05[/tex]

[tex]Days = n[/tex]

So, we have:

[tex]Base\ Amount + Rate * days = 120[/tex]

[tex]50 + \frac{1}{2}m = 120[/tex]

Hence, the error in her workings is that she should have pre-inform her before God and man.

Answer:

C - The One-half should be multiplied by m.

Step-by-step explanation:

Its right on edge

What benchmark Fraction equals
13 7/12 + 11 5/8

Answers

Answer:

Step-by-step explanation:

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