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3 years ago

Y=3x+2 and 3y-9x=-6 in a linear equations and identify their solucion

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

The system has no solution

Step-by-step explanation:

we have

$y=3x+2$ ----> equation A

$3y-9x=-6$

isolate the variable y

$3y=9x-6$

Divide by 3 both sides

$y=3x-2$ ----> equation B

Compare equation A and equation B

Their slopes are equal and their y-intercepts are different

Remember that

If two lines have the same slope, then the lines are parallel

In this problem we have two different parallel lines, so, the lines don't intercept

therefore

The system has no solution

You might be interested in

At a local department store sweaters typically cost $30 however due to a special the sweaters are reduced to$6 what percent of t

sineoko [7]

The sweater prices have reduced by 80% due to the special.

Step-by-step explanation:

Step 1; Cost before reduction was $30. The cost after reduction was 6$. Cost reduced= cost before reduction - cost after reduction

Cost reduced= $30 - $6 = $24

Step 2; We must find how much of the cost was reduced from the initial cost i.e. how much $6 is to $30. To do this we must convert it into a percentage. We divide the $6 with the $30 to get a value. This value must be multiplied with a 100 to be converted into a percentage.

Cost by which sweater was reduced= 24/30 * 100 = 0.8 * 100 = 80%.

So the price of the sweater was reduced from $30 to $6 which means there was a reduction of 80%.

8 0

3 years ago

What is the algorithm for the inverse of f (x)?<br>

Juli2301 [7.4K]

Answer:

What is an inverse?

Recall that a number multiplied by its inverse equals 1. From basic arithmetic we know that:

The inverse of a number A is 1/A since A * 1/A = 1 (e.g. the inverse of 5 is 1/5)

All real numbers other than 0 have an inverse

Multiplying a number by the inverse of A is equivalent to dividing by A (e.g. 10/5 is the same as 10* 1/5)

What is a modular inverse?

In modular arithmetic we do not have a division operation. However, we do have modular inverses.

The modular inverse of A (mod C) is A^-1

(A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1

Only the numbers coprime to C (numbers that share no prime factors with C) have a modular inverse (mod C)

Step-by-step explanation:

Please check image.

3 0

3 years ago

One positive number is 9 more than twice another. If their product is 95, find the numbers.

mafiozo [28]

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be $x\ and\ y.$

So:

$x = 9 + 2y$ --- First statement

$x*y = 95$ --- second statement

Required

Find x and y

Substitute $x = 9 + 2y$ in $x*y = 95$

$(9 + 2y) * y = 95$

$9y + 2y^2 = 95$

Rewrite as:

$2y^2 + 9y - 95 = 0$

Expand

$2y^2 -10y +19y- 95 = 0$

Factorize

$2y(y -5) +19(y- 5) = 0$

$(2y +19)(y- 5) = 0$

Solve for y

$2y + 19 =0$ or $y - 5 = 0$

$2y = -19$ or $y = 5$

$y = -\frac{19}{2}$ or $y=5$

Since the numbers are positive, we take only:

$y=5$

Substitute $y=5$ in $x = 9 + 2y$

$x = 9 + 2 * 5$

$x = 9 + 10$

$x = 19$

<em>The numbers are 19 and 5</em>

5 0

3 years ago

The length, L, of a rectangle is 4 times its width, W. The perimeter of the rectangle is greater than 60

polet [3.4K]

Answer:

w> 6

Step-by-step explanation:

Let w= the width

Let 4w = length

So then your equation becomes

2(w) + 2(4w) >60

Distribute

2w+8w > 60

Combine like terms

10w > 60

Divide by 10

w > 6

7 0

3 years ago

Is 0 not an element of an empty set?

kirza4 [7]

Answer:

0 is not an element of an empty set.

Step-by-step explanation:

We are asked to determine whether 0 is not an element of an empty set.

We know that an empty set is an unique set having no elements. The cardinality of an empty set is 0.

Cardinality stands for the count of element is an set. An empty set is denoted by symbols ∅ or { }.

The empty set is like an empty container. The container is there, but nothing is in it.

When 0 is an element of a set, then its cardinality would be 1.

Therefore, 0 is not an element of an empty set.

3 0

4 years ago