2x - 6y = 6
6x - 4y = 2

Answers

Answer 1

Answer:

x = - 3/7

y = - 8/7

Step-by-step explanation:

(2x - 6y = 6)/2 =

x - 3y = 3

x = 3y + 3

Substitution:

6 (3y +3) - 4y = 2

18y + 18 - 4y = 2

14y = -18+2

y = -16/14

y = - 8/7

Substitution:

x = 3(-8/7)+3

x = -24/7 + 3

x = -3/7

Answer 2

9514 1404 393

Answer:

  (x, y) = (-3/7, -1 1/7)

Step-by-step explanation:

We can divide each equation by 2 and subtract the constant to put them in general form.

  x -3y -3 = 0

  3x -2y -1 = 0

This form facilitates use of the "cross multiplication method" of solution. That method tells us ...

  1/d1 = x/d2 = y/d3

where the differences d1, d2, d3 are the differences of cross-products:

  d1 = 1(-2) -(3(-3)) = 7

  d2 = -3(-1) -(-2(-3)) = -3

  d3 = -3(3) -(-1(1)) = -8

Then the solutions are ...

  x = d2/d1 = -3/7

  y = d3/d1 = -8/7

(x, y) = (-3/7, -8/7)

_____

Additional comment

When the general form equations ax+by+c=0 and dx+ey+g=0 have their coefficients written in two rows: (note the repeated first coefficient)

a, b, c, ad, e, g, d

The pattern in the cross-differences is relatively easy to see:

d1 = ae -dbd2 = bg -ecd3 = cd -ga

The expressions for the solution values, (x, y) = (d2/d1, d3/d1), are substantially identical to those of Cramer's method.

2x - 6y = 6 6x - 4y = 2

Related Questions

arrange 64 72 27 83 in ascending order​

Answers

Answer: 27,64,72,83

Step-by-step explanation: By ascending order it is basically asking you to sort the numbers from least to greatest. So the order would be 27,64,72,and 83.

Answer:

27, 64, 72, 83

Step-by-step explanation:

27

is the least

64

is bigger than 27 yet less than 72 and 83

72

bigger than both 27 and 64 yet is less than 83

83

is last because it is the biggest one of them all

Keep getting these wrong

Answers

Using the simple interest formula:

I = P • r • t

where:
I = interest on the loan
P = principal (loan amount) = $400
r = interest rate = 6% or 0.06
t = time = 60 days or 2/12 months

Substitute the given values into the formula:

I = P • r• t
I = $400 • 0.06 • 2/12
I = $4

Therefore, the student pays $4 in interest if the loan is paid back within 60 days.


please help asap!!!!!!!!!!!!!

Answers

Answer:

I am as lost as you are one of my math assignments is about to lock and don't know anything

HELLPPPPPPP

The graph below plots a function f(x):


If x represents time, the average rate of change of the function f(x) in the first two seconds is
(1 point)

Answers

The answer is 50! Rate of change= y1-y2/x1-x2

fill in the blank (geometry b)

Answers

The prime factorization of the given value is 2 × 2×2×√7

Prime factorization is the number of expressions written as a product of its prime factors.

Given the value 2√112

Prime numbers are numbers that can only be divisible by itself and 1.

2√112 = 2(√2×2×2×2×7)

2√112 = 2(√2⁴×7)

2√112 =  2(2²×√7)

2√112 =  2 × 2×2×√7

Hence the prime factorization of the given value is 2 × 2×2×√7

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What is the slope of the line in the xy plane that passes through the points {-5/2 ,1} and {-1/2, 4}?

Answers

Answer:

m=3/2

Step-by-step explanation:

the line: y=mx+b

This line passes through the points

-> These points (x,y) are on the line

(-5/2,1) : x=-5/2  y=1

1=-5/2m+b                      

(-1/2,4) : x=-1/2    y=4

4=-1/2m+b

We have a system of equation:

1=-5/2m+b

4=-1/2m+b

After solving this, we have m=3/2   b=19/4

-> The slope is 3/2

What is the sum of the following problem: 5 + 7 + (-11)

Answers

The answer is 1 this is because if you simply it it actually says 12 - 11

Hope this helps

There are 24 student in kyle’s kindergarten class. How many ways can he choose eight to atten his birthday party

Answers

Answer:  735,471

This is one number

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

Work Shown:

[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{24} C _{8} = \frac{24!}{8!*(24-8)!}\\\\_{24} C _{8} = \frac{24!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17*16!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8*7*6*5*4*3*2*1}\\\\_{24} C _{8} = \frac{29,654,190,720}{40,320}\\\\_{24} C _{8} = 735,471\\\\[/tex]

We use the nCr combination formula because order doesn't matter.

The number of ways Kyle’s choose eight to attend his birthday party is 43263.

What is a combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, ⁿCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Given that, there are 24 student in Kyle’s kindergarten class.

He choose eight to attend his birthday party

Now, number of ways is

²⁴C₈= 24!/8!(24-8)!

= 24×23×22×21×20×19×18×17×16!/8! 16!

= 24×23×22×21×20×19×18×17/8×7×6×5×4×3×2×1

= 3×23×11×3×4×19×3×17/4×3

= 3×23×11×3×19

= 43263

Therefore, the number of ways Kyle’s choose eight to attend his birthday party is 43263.

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What is 2/5 to the 5th power? (as a fraction)

Answers

Answer:

2/3125

Step-by-step explanation:

Answer:

32/3125

Step-by-step explanation:

  (2/5)^5 = (2^5) / (5^5)

               = 32 /3125         means 2·2·2·2·2 = 32;   5·5·5·5·5= 3125

When graphing data from a study the scale of the data:

A, may make the data misleading
B, should always be presented using a factor of 2.
C, is not important.
D, will not change how the data appears.

Answers

Answer:

B

Step-by-step explanation:

B no steps needed to do this

The scale factor enlarges or reduces the graph of the data set thus it will not change the shape thus option (D) is correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

The scale factor is used to enlarge any data set by the same multiplier.

For example, a coordinate (x,y) will be enlarged by (9x,9y) so 9 will be the scale factor.

The scale factor is useful to work with data which not lie in the range of the given axis in coordinate geometry.

When we apply the scale factor it will either enlarge or reduce the plot size but the shape will remain the same so the data representation will be the same.

Hence "The scale factor enlarges or reduces the graph of the data set thus it will not change the shape".

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GUYS QUICKLY(write the number positioned at the point F

Answers

Step-by-step explanation:

_1.5 because it is betwwen the _1 and _2

pls help me pls pls pleasse

Answers

Here you go! Good luck

876,302 to the nearest 10,000

Answers

Answer:

Simple answer: 880,302

Step-by-step explanation:

Rule is if the number before the number your rounding is above 4 then it should round up

if its lower than 4 the number your rounding stays as is and the number before it goes down to 0

Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?

$1,800.00


$2635.20

$988.20


$2,830.00

Answers

12(months) x 20 (years) = 240

10.98 x 240 = 2635.20

So Arthur will pay $2635.20 over 20 years for premium.

I hope this helps :)
Arthur will pay $2635.20 for 20 years for premium

Why is it important to be able to discover the rule within a sequence

Answers

Answer:

a particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

By discovering the rule of sequence we can find the missing terms of the sequence.

We need to find why is it important to be able to discover the rule within a sequence.

What is sequence?

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

It is important to discover the rule within a sequence, because by discovering the rule of sequence we can find the missing terms of the sequence and nth term formula and sum of n terms formula.

Therefore, by discovering the rule of sequence we can find the missing terms of the sequence.

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What is the next term of the geometric sequence?
4/9, -4/3, 4

Answers

Answer:

the answer is 4/8 and pls make me a brainiest and follow me

Answer:

-12

Step-by-step explanation:

Geometric sequence: 4/9 ; -4/3 ; 4

Ratio = 2nd term ÷ 1st term = (-4/3) ÷ (4/9)

        [tex]= \dfrac{-4}{3}*\dfrac{9}{4}=-3[/tex]

Each term in the sequence is obtained by multiplying the previous term by (-3)

Next term = 4 *(-3) = -12

is 2/3 of 12 equal to 9

Answers

Answer: o

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

two thirds of 12 is 8

What is the x and y intercepts

Answers

Answer:

Y= 2 X= None

Step-by-step explanation:

There is no X-interecpt because the line does not cross through x. Y-intercept is 2 because the line crosses through 2.

Find the distance between R (3, 4) and T (7, 2).

Answers

Answer:

[tex]\sqrt{20}[/tex] or 4.47

Step-by-step explanation:

To find the distance between two points on a plane, you can use the distance formula: [tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

Plug your values in to get the distance between the two points.

[tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

[tex]d=\sqrt{(2-4)^2 + (7-3)^2 }[/tex]

[tex]d=\sqrt{(-2)^2 + (4)^2 }[/tex]

[tex]d=\sqrt{4 + 16 }[/tex]

[tex]d=\sqrt{20}[/tex] or 4.47

order the the values from -7, -6, |5|, |-6|, 8 least to greatest

Answers

Answer:

-7, -6, |5|, |-6|, 8

Step-by-step explanation:

Negatives have the least amount. but since the absolute value does not take into account negatives, the actual number amount would be used. And 8 is just the greatest number here.

I don’t really know ratios

Answers

Answer:

Pencils to erasers:  18:12    18/12     18 to 12

Pens to markers:   9:6    9/6   9 to 6

Step-by-step explanation:

Hope this helps!

what are the most common formats that are used to do proof?
-flow
-two-column
-paragraph

Answers

Answer:

two column

Step-by-step explanation:

you need to flow to get what you want

1. P(x


2. P(1.61≤x≤a)=0.01


3. P(x≥1.42)=


4.P(x≥1.42)=


5. P(17

Answers

Answer:

I REALLY DON'T KNOW IM DOIN IT FOR THE POINTS

Step-by-step explanation:

i need help with the last two questions??

Answers

i'll ask my teacher tommorow for you

Step-by-step explanation:

please help me solve the question in the image

Answers

Step-by-step explanation:

x(midpoint) = a+b/

x= -2,5+2,5/2

x=0/2

x=0

still dont get it...

Answers

Answer:

You can tell they are scaled copies because they retain the same shape as each other, even though they are different sizes. Another way you can tell is to find the measure of all the sides for both shapes and see if the ratio from the original to image is the same for all sides (indicating that all sides were scaled by the same amount)

Step-by-step explanation:

se marco ha 3 mele giulia ne ruba 2 quante mele ha marco?

Answers

Answer:

1

Step-by-step explanation:

Answer:

tendrías 1 manzana

Step-by-step explanation:

This means you have one apple left

solve pls brainliest

Answers

Answer:

The total length is 30.19 centimeters

Step-by-step explanation:

To find the total length, we add 1+9.89+19.3=30.19 cm.

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

In 803,349 , how is the value of the 3 in the thousands pace related to the 3 I the hundreds place

Answers

9514 1404 393

Answer:

  it has 10 times the value

Step-by-step explanation:

In a base-10 number system, each digit to the left has a value 10 times the one to its right.

  3 in the thousands place has a value of 3000

  3 in the hundreds place has a value of 300

The digits values are related by a factor of 3000/300 = 10. The digit in the thousands place has 10 times the value of the digit in the hundreds place.

What is the completely factored form of f(x)=x3−8x2+5x+14, given that x = 7 is a root?

Group of answer choices

f(x) = (x + 7)(x - 1)(x + 8)

f(x) = (x + 2)(x - 1)(x + 7)

f(x) = (x + 14)(x - 8)(x + 5)

f(x) = (x - 2)(x - 7)(x + 1)

Answers

f(×)=(×+7)(×-1)(×+8)

Answer:

answer is 4

Step-by-step explanation:

we want to get 14

so 14 = -2*-7*1 so when simplifying last equation will get the constan number 14

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