Question

The solution to this first puzzle is at the intersection of the two lines. The two lines intersect at the point (x, y).Using any method, find the coordinates of point (x,y). Show your work.16543116-5-4-3-2-14312365. What is the solution to this first puzzle? Show your work or explain how you got your answer.(Replace this text with the solution)(Replace this text with your work/explanation)ada hooks and flashlichts She needs at least

Answer 1

The equation of the first line is, y=3x-16.

The second line passes through (1,7) and (4,1).

The equation of the second line can be determined as,

$\begin{gathered} \frac{y-7}{x-1}=\frac{7-1}{1-4} \\ y-7=-2(x-1)_{} \\ y=-2x+9 \end{gathered}$

Substituting the value of y from equation (1) in (2),

$\begin{gathered} 3x-16=-2x+9 \\ 5x=25 \\ x=5 \end{gathered}$

Substituting the value of x in equation (1),

$\begin{gathered} y=-2(5)+9 \\ y=-1 \end{gathered}$

Thus, the requried intersection point is (5,-1).