Question

which system of equations is represented by the following graph? A. y=3x+5 1/2x+2B. y=-2x+3 y=4x-1C. y=1/5x-3/5 y=3/2x+2D. y=4/3x-2 y=-2/3x+5/6

Answer 1

Given data:

The given graph is shown.

The solution o the graph is the point of intersection of both the lines, here (-2, -1) is the solution of the graph.

Substitute (-2, -1) in first option.

`\begin{gathered} -1=3(-2)+5 \\ -1=-1 \\ and\text{ } \\ -1=(1)/(2)(-1)+2 \\ -1\\e1.5 \end{gathered}`

Substitute (-2, -1) in second option.

`\begin{gathered} -1=-2(-2)+3 \\ -1\\e7 \end{gathered}`

The above option is also wrong.

Substitute (-2, -1) in third option.

`\begin{gathered} -1=(1)/(5)(-2)-(3)/(5) \\ -1=-1 \\ \text{and} \\ -1=(3)/(2)(-2)+2 \\ -1=-1 \end{gathered}`

Thus, the option (C) is correct.