The system of equations

Question

-2x=4-y

8-2y=x 

is an_ system

a) consistent , independent 

b)consistent ,dependent

c)inconsistent

d)independent 

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the values of x and y (if applicable) such that we use substitution such that

-2x=4-y

8-2y=x 

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-2(8-2y) = 4-y............Then distribute the -2 inside such that

-16 + 4y = 4 - y.............Then add y such that

-16 + 5y = 4.........Then add 16 to both sides such that

5y = 20............Then divide 5 such that

y = 4

Then plug 4 into the equation to get 8-2(4) = x = 0. Since we obtained one solution, the system is A) Consistent, Independent.

I hope this helped!