solve the following system of equations graphically on the set of axes below.\n\n$y = \\frac{1}{5}x…

solve the following system of equations graphically on the set of axes below.\n\n$y = \\frac{1}{5}x - 8$\n\n$y = -\\frac{4}{5}x - 3$\n\nplot two lines by clicking the graph.\nclick a line to delete it.

solve the following system of equations graphically on the set of axes below.\n\n$y = \\frac{1}{5}x - 8$\n\n$y = -\\frac{4}{5}x - 3$\n\nplot two lines by clicking the graph.\nclick a line to delete it.

Answer

Explanation:

Step1: Set the two equations equal

Set (\frac{1}{5}x - 8=-\frac{4}{5}x - 3).

Step2: Solve for (x)

Add (\frac{4}{5}x) to both sides: (\frac{1}{5}x+\frac{4}{5}x-8 = - 3). Simplify: (x - 8=-3). Add (8) to both sides: (x=-3 + 8). So, (x = 5).

Step3: Solve for (y)

Substitute (x = 5) into (y=\frac{1}{5}x-8). (y=\frac{1}{5}\times5-8). Simplify: (y=1 - 8=-7).

Answer:

((5,-7))