Mathematics, 14.11.2019 23:31 kristenhernandez74

Which of the following points is a solution to the system of inequalities?
6x-2y < 10
6x + 3y > 15
_

Answers: 2

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Answer from: stevend0599

im pretty sure its d. (2,1)

Answer from: monaec1757

The method I'm going to use is elimination.

6x-2y < 10
6x + 3y > 15

So what I'm going to do is make the Xs cancel, and I'll do that by multiplying the first equation by -1 so the 6xs cancel.

-(6x-2y < 10)
6x+3y > 15

Now we're going to add.

-6x + 2y < -10
6x + 3y < 15

5y < 5

Isolate y by diving 5 on both sides.

5y < 5
__ __
5 5

y<1

So y is greater than 1.

Now, I'm going to make the Ys cancel to find X. And I'll do that by multipying each function by the LCD of the Ys to make them equal 6.

(6x-2y < 10) 3
(6x + 3y > 15) 2

Now add.

18x - 6y < 30
12x + 6y > 30

30x > 60

x > 2

Hope this helps!! x

Answer from: Quest

it shoild be o

step-by-step explanation:

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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Which of the following points is a solution to the system of inequalities?
6x-2y < 10

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