Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24

Answers

Answer 1

Hello there, this is how we will solve your problem.\

here is the equation you gave us.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]

we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]

Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].

_________________

[tex]y=-3[/tex] [tex]x=0[/tex]

Related Questions

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

Equation=5*2^3/2^2

What is the intersection of plane AEH and plane EGH?

Answers

Answer:

E

Step-by-step explanation:

Hope this helped

Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the CD. What is the total amount it it worth?

Answers

Step-by-step explanation:

if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.

now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c

Eight squared plus B squared equals 14 squared

Answers

[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]

The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false

Answers

True-... i think because like i am not sure-

my Christmas present to you​

Answers

Answer:

Is this a points post or something? If so, thank you!

solve using substitution
x-10y=10
x= -10

Answers

-10 -10y = 10
+10 +10

-10y = 20

20/-10 = -2

Y = -2

Answer:

y = -2

Step-by-step explanation:

x - 10y = 10=> -10 - 10y = 10=> -10y = 10 + 10=> -10y = 20=> y = -2

Conclusion:

Therefore, y = -2.

Hoped this helped.

[tex]GeniusUser[/tex]

PLEASE HELP GIVING POINTS

Answers

Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.

Step-by-step explanation:

To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].

This means to rise up ___ amount of numbers and run __ amount of numbers.

Rise is moving along y, and x is moving along x.

-Additional info:

positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)

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

#TeamTrees #TeamSeas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

300 milliliters per 'minute = ?
liters per hour

Answers

Answer:

300 millilters per min = 18 liters per hour

Step-by-step explanation:

5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180

Answers

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

What is the area of this figure?

Answers

Answer:

84mm

Step-by-step explanation:

square = LxW = 6x6 =36

triangle = bxh/2 = 6x8/2 =24

add together 24x2+36=84

A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.

Answers

Linear functions are used to represented straight lines.

The linear function is [tex]y = -\frac 12x + 1[/tex]

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Substitute values for x and y

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

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

Rewrite as:

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

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac 12(x -0) + 1[/tex]

[tex]y = -\frac 12(x) + 1[/tex]

Open bracket

[tex]y = -\frac 12x + 1[/tex]

Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

3х + 9 = 2х + 5

is it no solutions, all real numbers, or does x equal something?

Answers

Answer:

x = -4

Step-by-step explanation:

Given Equation:3x + 9 = 2x + 5

Question:Whether x has one solution or infinite solutions or no solutions?

Solution:

=> 3x + 9 = 2x + 5

(On shifting like terms to one side we get)

=> 3x - 2x = 5 - 9

(On subtracting)

=> x = - 4

Result:

Hence, x has only one solution that is, x = -4 (Ans)

Topic : Linear equations in one variable

Given :

3х + 9 = 2х + 5

Solution :

[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]

Transposing variables on one side and constant terms on the other side, we get :

[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]

Hence, the x is equal to something which is (– 4)

A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.

Answers

Answer:

y = x+4

Step-by-step explanation:

First, we find the slope

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

m = ( 9-7)/(5-3)

    = 2/2

   =1

Slope intercept form of a line is y = mx+b  where m is the slope and b is the y intercept

y = 1x+b

Using one of the points

7 = 1*3+b

7 = 3+b

4=b

y = x+4

equivalent expressions to 3/5x +3

Answers

Step-by-step explanation:

......3(x+5)/5......

Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?

Answers

The area of the reduced photograph is 7.45

A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?

Answers

Answer:

Step-by-step explanation:

The scale factor is the ratio between the man's actual height and the height of the drawing.

Scale = 64/4 = 16

Answer:

1/16

Step-by-step explanation:

the actual man is 16 times bigger than drawing.

F(x) = the integral from 0 to x cos(t^2)dt. Use your calculator to find F’(1)

Answers

By the fundamental theorem of calculus,

[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]

and so F'(1) = cos(1).

The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle

Answers

Answer:  16 cm

===================================================

Explanation:

The drawing is shown below.

Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CE

The goal is to find the length of CE based on these facts

BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DE

Notice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.

Focus on triangle CAD. We'll use the pythagorean theorem to find x.

a^2 + b^2 = c^2

(AD)^2 + (DC)^2 = (AC)^2

15^2 + x^2 = 17^2

225 + x^2 = 289

x^2 = 289 - 225

x^2 = 64

x = sqrt(64)

x = 8

Segment CD is 8 cm long, and so is segment DE.

To wrap things up, we then say:

CE = CD + DE

CE = 8 + 8

CE = 16

Chord CE is 16 cm long.

identify the coefficient in the term 7x^2y^3

Answers

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

https://brainly.com/question/13602562

Which one is greater 43/50 , 0.91 , 7/8 , 84%

Answers

Answer:

0.91

Step-by-step explanation:

43/50 = 0.86

7/8 = 0.875

84/100 = 0.84

Answer:

0.91

Step-by-step explanation:

.91 is already solved so there is nothing to do there.

Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.

For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.

For 84 percent, just convert it to 0.84 and you are done.

Therefore, the biggest one is 0.91

For what values of x: Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?

Answers

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?

Answers

Answer:

Step-by-step explanation:

1 meter = 39.3701, by definition.

3 meters = 3*(39.3701)

3 meters of wire = 118 inches

Answer:

3 meters ≈ 118 inches

Step-by-step explanation:

1 meter = 3.28084 feet

1 foot = 12 inches

3 · 3.28084 =  9.84252

9.84252 · 12 = 118.11024

I need help with this. I'm so lost..​

Answers

Answer:

1. Answer Is 33

2. Answer Is 25

3. Answer Is 33

Scatter plot has one dot for each data point. Create a graph with the known variable along the x axis and the dependent variable along the y axis. In this case latitude for a city is unchanging so it belongs on the x axis. Temperature on the y axis. Use the highest and lowest value from each list to determine the scale 25 to 45 latitude and 32 to 76 degrees temp. So I chose 25 to 50 for latitude and 30 to 80 for temperature. Plot the points on the graph. I labeled them for clarity but this is not a necessary feature of a scatter plot. Then you use the assigned method to determine the slope and intercept of the trend line. I used Excel. You can use a scientific calculator or the pencil/paper algorithm. The slope is -2.48. Which means that change of +1 latitude results in lower temperature by 2.48 F
At latitude zero, expected temp is 137. This highlights the problem of extrapolation, which is a side issue. Plugging latitude 50 into the resulting equation yields 13.6 degrees F. NB both latitude and temperature are measured in “degrees” but these are vastly different. I left the unit off latitude to avoid this confusion.

what number is the square root of 13 between

A 2 and 3

B 5 and 6

C 4 and 5

D 3 and 4

Answers

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

pls help me with this:((​

Answers

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

9.) one to one correspondence

10.)one to many correspondence

Step-by-step explanation:

in 9 it shows that 1-4 are connected to different number

in 10 it shows that a is connected to 2 different numbers

F(x)=log2(x+3)+5 what's the x and y int.

Answers

Answer:

x int (-3), y it. (5)

Step-by-step explanation:

x+3=0, just subtract 3 and x = 3

Number to the right of parenthesis is always y int. for this sort of problem

ASAP HELPPPPPPPPP PLEASE!!!!

Answers

Answer:

1. y=3/5x +1

2. x = -3

3. y = 4

4. y = -1/3x + 4

5. y=5x + 4

6. y= 3/4 x + 1

7. y = 9/4x - 1/2

8. y = 5/3x

9. y = -5x +5

10. y = 2x - 5

11. y = -4x - 4

12. y = 1/4x - 4

Step-by-step explanation:

math lol

5 1/28=1/2p+5 4/7
Please help!!

Answers

Answer:

p = (-15)/14

Step-by-step explanation:

Solve for p:

5 + 1/28 = p/2 + 4/7 + 5

Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:

((28×5)/28 + 1/28) = p/2 + 4/7 + 5

28×5 = 140:

140/28 + 1/28 = p/2 + 4/7 + 5

140/28 + 1/28 = (140 + 1)/28:

((140 + 1)/28) = p/2 + 4/7 + 5

140 + 1 = 141:

141/28 = p/2 + 4/7 + 5

Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:

141/28 = ((7 p)/14 + 8/14 + 70/14)

(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:

141/28 = ((7 p + 8 + 70)/14)

Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):

141/28 = (7 p + (70 + 8))/14

70 + 8 = 78:

141/28 = (7 p + 78)/14

141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:

(7 p + 78)/14 = 141/28

Multiply both sides of (7 p + 78)/14 = 141/28 by 14:

(14 (7 p + 78))/14 = (14×141)/28

(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:

(7 p + 78) = (14×141)/28

14/28 = 14/(14×2) = 1/2:

7 p + 78 = 141/2

Subtract 78 from both sides:

7 p + (78 - 78) = 141/2 - 78

78 - 78 = 0:

7 p = 141/2 - 78

Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:

7 p = (141/2 - (78×2)/2)

2 (-78) = -156:

7 p = 141/2 + (-156)/2

141/2 - 156/2 = (141 - 156)/2:

7 p = ((141 - 156)/2)

141 - 156 = -15:

7 p = (-15)/2

Divide both sides by 7:

p = ((-15)/7)/2

2×7 = 14:

Answer: p = (-15)/14

A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange

Answers

Answer:

6/91

Step-by-step explanation:

Total number of fruits = 4 + 2 + 3 + 5 = 14

Apple: 4/14

One of the fruits have been taken from the total. 14 thus becomes 13.

There are 3 oranges

Orange: 3/13

Combine probability: 4/14 * 3/13 = 12/182 = 6/91

Two is a common factor in both 12 and 182

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