Find the solution of the system of equations.

15x -4y = -50

3x - 2y = -16

Answers

Answer 1

Answer:

15x - 4y =-50 -----(i)

3x - 2y=-16 --------(ii)

Using Substitution

From (i)

15x=4y-50

x=4y-50/15

Substitute x=4y-50/[15] into eqn (ii)

3x - 2y= -16

3[4y-50]/15 - 2y =-16

Multiply through by 15 to clear the fraction

3(4y - 50) - 30y=-240

12y - 150 -30y=-240

12y-30y=-240+150

-18y = -90

y=90/18

y=5.

Substitute into any eqn of choice to get x

3x - 2y=-16

3x - 2(5)=-16

3x - 10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2.

x= -2

y=5


Related Questions

If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?

Answers

Answer: 16

Step-by-step explanation:

Simplify (4x - 6) + (3x + 6)

Answers

This is how you do it
4x-6+3x+6
4x+3x
7x

Answer:

The simplified form would be 7x.

Step-by-step explanation:

(4x - 6) + (3x + 6)

4x - 6 + 3x + 6

4x + 3x -6 + 6

4x + 3x

= 7x

A plane takes off from a runway given as the path with points A and B. Find the midpoint if point A is at (-1, 2) and point B is at (-2, -4)

Answers

Answer:

a

Step-by-step explanation:

Answer:

(-1.5, -1)

Step-by-step explanation:

Here, you would essentially find the respective means of the x and y coordinates.

For x:

(-1 + (-2)) = -3

[tex]\frac{-3}{2}[/tex] = -1.5

For y:

(-4 + 2) = -2

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

Thus, the midpoint would be (-1.5, -1)

HELP ASAP
TYSM TYSM What is the surface area of the square pyramid?
I put a picture!
⬇️

Answers

Answer:

the surface area is 133cm.

7 x 7 is 49

7 x 6 is 42.

42 divided by 2 is 21.

21 x 4 is 84

So 84 + 49 is 133.

A survey found that 52% of middle school students needed extra help in class.
If a total of 300 students took the survey, how many students said they
needed extra help in class?
There were
students that said they needed extra help in class.

Answers

Answer:

Your answer is 156

Step-by-step explanation:

300*.52=156

solve the inequality [tex]\frac{\sqrt{9-x} - |3x-4|}{\sqrt{x+2}-|3x-4|}\leq 1[/tex]

Answers

2 is your ANWSER correct me if I’m wrong

Solve each equation using the substitution method.

8+=56

Answers

Answer:

I think u got yr question incomplete

there is no any equation

stay safe healthy and happy.
8 x 7 = 56
Explanation: X=56

Please explain how. Thanks in advance

Answers

Answer:

A kite has only 1 pair of opposite congruent sides, whereas a parallelogram has 2 pairs of opposite congruent sides

Hope this helps!

graph the equation y = 2 (x - 4)^2 + 5

Answers

Answer:

Step-by-step explanation:

I don't know how to do this

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

what does coplanar mean ?
Brainliest

Answers

Coplanar means “in the same plane.” Hope this helps!
Coplanar means a line which is in the same plane as another line. Any two intersecting lines must lie in the same plane

—Examples—
•] three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique.

Decide whether the sequence is arithmetic, type yes or no. If so, find the common difference.
4,7, 10, 13, 16, ....

Answers

Answer:

arithmetic sequence

Step-by-step explanation:

There is a common difference between consecutive terms , that is

d = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

This indicates the sequence is arithmetic with common difference d = 3

Kenny'sofficehadalreadyrecycled29kilogramsthisyearbeforestartingthenewrecyclingplan,andthenewplanwillhavetheofficerecycling1kilogramofpapereachweek.HowmanyweekswillittakeKenny'sofficetorecycleatotalof43kilogramsofpaper?

Answers

Answer:

hi people of the 21 century

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPP

Answers

Answer:

$720

Step-by-step explanation:

(4000)(0.03)(6)

$720 is the right answer

Hey please help me please help please
Help help please

1. What operation would you perform to express a measure given in the first unit as a measure in the second unit?


a) metres to centimetres _________________________


b) metres to millimetres __________________________


c) kilograms to grams ____________________________


d) litres to millilitres




2. Will each number be larger or smaller than the given number? Then fill in the blank.


larger smaller a) 3 m = ________ cm


larger smaller b) 28 cm = _________mm


larger smaller c) 2.4 km = _________m


larger smaller d) 485 mm = _________cm


larger smaller e) 35 cm = ____________m


larger smaller f) 2.4 m = _____________km


larger smaller g) 2495 mm = __________m

Answers

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m

Marking brainliest


Use human rights as a sentence

Don’t use the internet pls!!

Answers

Answer:

the human right movement was leaded by my father who if very good at his job

Step-by-step explanation:

HOW TO DO THIS QUESTION ​

Answers

Answer:

see explanation

Step-by-step explanation:

The dot above the 5 indicates the 5 is repeating , that is

2.7555...

We require 2 equations with the repeating 5 placed after the decimal point.

let x = 2.7555,,, ( multiply both sides by 10 and 100 )

10x = 27.55... → (1)

100x = 275.55... → (2)

Subtract (1) from (2), thus eliminating the repeating 5

90x = 248 ( divide both sides by 90 )

x = [tex]\frac{248}{90}[/tex] = [tex]\frac{124}{45}[/tex]

HELP!!! I WILL MARK BRAINLEST!

Answers

it would be (1, 2)
you take 4•.25 and 8•.25
you get (1, 2)

The distance between D(-3,5) and E(x, 9) is 15. Find the value(s) of the
missing coordinate.

Answers

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

A triangle has two sides of length 18 and 4. What is the smallest possible whole-number length for the third side?

Answers

Answer:  15

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

Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

Answer:15

Step-by-step explanation: i got it right

Find the expected value of the winnings from a game that has the following payout probability distribution:
Payout ($) 0 4 6 8 10
Probability .5 .2 .15 .1 .05

Answers

could i get some extra help like whag did the teacher say in the video

Answer:

3

Step-by-step explanation:

6 1/2 = 1 1/4 + n. Which statements are correct. Check all that apply.

Answers

Answer:

n = 5.25

Step-by-step explanation:

6.5 = 1.25 + n

6.5 - 1.25 = 1.25 - 1.25

5.25 = n

Calculation: 2/3 - 1/2 - fraction calculator. The result is 1/6 ≅ 0.1666667 = onesixth. ... Solve problems with two, three, or more fractions and numbers in one ... From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for ...

Help!!
What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope = Change in y over change in x

Looking at the graph, as y goes up 4 x goes up 2

Thus, slope = 4/2 or 2

can someone explain the full answers

Answers

A) 2x+5=9 then if x=1

2+5=9 which is wrong then A is wrong

B) x=2

2×2+5=9

4+5=9

then B is correct

C) x=3

2×3+5=9

6+5=9

then C is wrong

D) 2x+5<9

2×1+5<9

2+5<9

7<9

D is correct

E)x=2

2×2+5<9

4+5<9

9<9

E is wrong

F) x=3

2×3+5<9

6+5<9

11<9

F is wrong

9, 7, 9, 8, 4, 5, 2,4

Mean__
Median__
Mode__
Range__

Answers

Answer:

Mean= Summation /number of terms

= 48/8

=6.

Median

To do this

arrange all terms from smallest to biggest

That is

2,4,4,5,7,8,9,9

The two middle numbers are

5 and 7.

To get the median

add both and divide by 2

5+7 = 12... 12/2 =6

Median=6

Mode.... This is the number that appears most

Mode = 4 and 9.(Bimodal) Both appear equally.

Range: Highest - Lowest

= 9-2 =7.

Answer:

mean = 6 median = 6 mode 9 and 4 range = 7

Step-by-step explanation:

mean = 2+4+4+5+7+8+9+9÷ 8 = 6

median = 5+7÷2

mode = 9 and 4

range = 9-2=7

6. If the measure of an arc is 68, what is the measure of its central angle?

Answers

Answer:

68

Step-by-step explanation:

Measure of arc = Measure of corresponding central angle

Thus, if the measure of an arc = 68, then the measure of its central angle also = 68

i need help with this

Answers

The missing numbers are 2,3,10,12,13

A grocery store sells avocados for $2.35 per pound how much would it cost to buy 7.4 pounds of avocados from this store

Answers

Answer: cost to buy 7.4 pounds of avocados from this store=$17.39

Step-by-step explanation:

Sale of avocados   per pound in the grocery= $2.35  

Sale of 7.4 pounds of avocados=  $2.35  x 7.4 pounds =$17.39

Therefore, the cost to buy 7.4 pounds of avocados from this store=$17.39

brainliest and 50 extra points

Answers

Answer:

The sunflower is doing this because it is following the direction of the sun, which is a key factor in photosynthesis.

Step-by-step explanation:

Answer:

a sunflower bends down to East in morning because the sun rises in east. all flowers grows towards the light of the sun. during 12 noon sun is middle of east and west so its growing towards the light at straight way. during 4 o' clock in afternoon became sun goes down to west so the sunflower bends down to the light.

What is the area of the figure to the nearest tenth?

Answers

Answer:

93.8 in

Step-by-step explanation:

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