62.6k views
5 votes
Which point is a solution to the system of inequalities below?A. (1,2)B. (4,7)C. (0,3)D. (-1,1)

Which point is a solution to the system of inequalities below?A. (1,2)B. (4,7)C. (0,3)D-example-1

1 Answer

1 vote

For this problem we have the following two inequalities given:


x+2y\ge4\text{, y}-2x<0

And we want to find the point of solution to the system of inequalities and for this case we can work with equations


x+2y=\text{4 (1) }
y-2x=\text{ 0 (2)}

If we solve for x from equation (1) we got:


x=\text{ 4}-2y\text{ (3)}

And replacing equation (3) into equation (2) we got:


y-2(4-2y)=\text{ 5y}-8=\text{ 0}\rightarrow y=\text{ }(8)/(5)=\text{ 1.6}

And solving for x we got:


x=\text{ 4}-(2\cdot1.6)\text{ = 0.8}

So then the intersection point between the two lines is (0.8,1.6). If we analyze all the possible options we have this:

(1,2)

User Aditya Nandardhane
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories