Question

the system 5y=8x+8 and 7y=-8x+16 is graphed as shown. which choice is the point of intersection?A) (1/2, 2)B) (1/3, 2)C) (1/4, 2)D) (1/8, 2)

Answer 1

We can see from the graph that the solution for y is y = 2. Then, to find exactly the value for x, we can substitute y = 2 on either equation to get the following:

`\begin{gathered} y=2 \\ \Rightarrow5(2)=8x+8 \\ \Rightarrow10-8=8x \\ \Rightarrow(2)/(8)=x \\ x=(1)/(4) \end{gathered}`

therefore, the point of intersection is (1/4, 2)