Question

An equation is shown below:

7x + y = 5

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. (2 points)

Answer 1

A: rearrange the terms, we get \(y = 5 - 7x\).
so, for every \(x\in(-\infty,\infty)\), there is a corresponding 'y'. This gives you an infinite pairs of (x,y) that satisfy the given equation.

Answer 2

B. choose any three values of 'x'.
Let us say, -1,0 and 3
\[\begin{array}
xx=-1\qquad&y=5-7(-1)=5+7=12\\
x=0&y=5-7(0)=5-0=5\\
x=3&y=5-7(3)=5-21=-16
\end{array}\]
so, we have the three points as:\((-1,12),(0,5),(3,-16)\)

Answer 3

aslso, take a look at this post: http://openstudy.com/study#/updates/52bba173e4b01cdca44a0b0c

Answer 4

Sorry @electrokid i was doing something and thank you!