Question

Which of the following systems has equations that are dependent? a. 2x+2y=6 ,2x−2y=6 b.2x−2y=6,4x+4y=4 c. y=−x+3,y=−x−3 d. 2x+2y=6,y=−x+3

Answer 1

The answer is D. I am sure of this because the two equations given depend on each other. in order to be solved.

Answer 2

The linear systems 2x + 2y = 6 and y = − x + 3 have equations dependent. Then the correct option is D.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one.

If the ratio of the coefficient of the variables and constants is equal then the linear system will be dependent.

$\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} = \dfrac{c_1}{c_2}$

Then we have equations

2x + 2y = 6 ...1

y = −x + 3 ...2

Then we have

$\dfrac{2}{1} = \dfrac{2}{1} = \dfrac{6}{3} = 2$

Then these equations are dependent.

More about the linear system link is given below.

https://brainly.com/question/20379472

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