Mathematics, 28.07.2019 10:00 GhostElite6383

Sthe system of equations is consistent, consistent and coincident, or inconsistent? y=−3x+1 2y=−6x+2 select the correct answer from the drop-down menu. consistent consistent and coincident inconsistent

Answers: 2

Show answers

Answers

We would know if a system is consistent, inconsistent, or coincident depending on the number of solutions it has. If it has only one solution, the system is said to be consistent. If it has none, the system is inconsistent; and if the system has an infinite number of solutions, it is said to be consistent and coincident.

Let's solve the system to know how many solutions it has.

y=-3x+1

Notice that dividing the second equation by 2 would yield the exact same equation as 1. This would therefore allow us to conclude that AN INFINITE NUMBER of pairs of (x,y) coordinates would satisfy the system. Thus, the system is said to be consistent and coincident.

Answer from: Treezy11

Ans: Consistent and Coincident

Explanation:
First let me tell you the shortcut to know whether the system is consistent or inconsistent or coincident.

1) Consistent: If system of equations has at least one solution.
2) Inconsistent: If system of equations has no solutions.
3) Coincident: If one equation is multiple of the other.

Given Equations:
y=−3x+1 --- (A)
2y=−6x+2 --- (B)

As you can see equation (B) is same as equation (A):
$y = \frac{-6x}{2} + \frac{2}{2}$

=> y=−3x+1 (same as (A))

It means both the equations lie on top of one another in the graph. Therefore,
there are infinite solutions of the above system of equations.

Now apply the shortcut! As there are infinite solutions, it means the system is consistent.

Now let's see the coincident part.
Is one equation a multiple of second equation? YES! As,
equation-B = 2 * {equation-A)

Therefore, the system is coincident as well.

Hence the answer is: Consistent and Coincident

-i

Answer from: Quest

Main idea on left, details on right

Answer from: Quest

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

$4x^2-0x-9$

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

$4x^2-0x-9$

$=4x^2-6x+6x-9\\\\=2x(2x-3)+3(2x-3)\\\\=(2x+3)(2x-3)\\\\=(2x-3)(2x+3)$

therefore, the correct factorization of $4x^2-0x-9$ is (2x-3)(2x+3).

Another question on Mathematics

Mathematics, 21.06.2019 21:20

Do you mind if you guys me with this question i’m on number 8

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Given the net of the rectangular prism, what is its surface area?

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Pleasse me i need an answer. give me the correct answer. answer if you know it ! the club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. the decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. use the best measure of center for both data sets to determine whether the club should increase the budget. assume there are four weeks in a month. if you think the data is inconclusive, explain why.

Answers: 3

Answer

Mathematics, 22.06.2019 02:00

What 620000 divided by 10 to the third power

Answers: 1

Answer

You know the right answer?

Sthe system of equations is consistent, consistent and coincident, or inconsistent? y=−3x+1 2y=−6x+...

Questions