solve the following system of equations graphically on the set of axes below. y = 3x - 8 y = -2x - 3 plot…

solve the following system of equations graphically on the set of axes below. y = 3x - 8 y = -2x - 3 plot two lines by clicking the graph. click a line to delete it.

solve the following system of equations graphically on the set of axes below. y = 3x - 8 y = -2x - 3 plot two lines by clicking the graph. click a line to delete it.

Answer

Explanation:

Step1: Set the two equations equal

Since (y = 3x - 8) and (y=-2x - 3), we set (3x - 8=-2x - 3).

Step2: Solve for (x)

Add (2x) to both sides: (3x+2x - 8=-2x+2x - 3), which simplifies to (5x - 8=-3). Then add 8 to both sides: (5x-8 + 8=-3 + 8), getting (5x=5). Divide both sides by 5: (x = 1).

Step3: Solve for (y)

Substitute (x = 1) into (y = 3x - 8), so (y=3\times1 - 8=3 - 8=-5).

Answer:

The solution of the system is ((1,-5))