Mathematics: Solve the system of equations by graphing.y=- 4x - 5Ty=x+5Use the graphing tool to graph the system

helpStep-by-step explanation:...

Solve the system of equations by graphing.y=- 4x - id45674026, sabrinarasull1pe6s61

chloeethoma24

22.01.2022

The given system of equations is y=-4x-5 and y=x+5

We need to determine the solution to the system of equations.

Plotting the equation y=-4x-5 :

The equation y=-4x-5 can be plotted in the graph using the x and y intercepts.

When x=0 , the equation becomes y=-5

When y=0 , the equation becomes x=-1.25

Hence, joining these coordinates (0,-5) and (-1.25, 0), we get the line for the equation y=-4x-5

Plotting the equation y=x+5 :

The equation y=x+5 can be plotted in the graph using the x and y intercepts.

When x=0 , the equation becomes y=5

When y=0 , the equation becomes x=-5

Hence, joining these coordinates (0,5) and (-5,0), we get the line for the equation y=x+5

Solution of the system of equations:

The solution of the system of equations is the point of intersection of these two lines.

Thus, from the graph, the lines intersect at the point (-2,3)

Hence, the solution to the system of equations is (-2,3)

0,0(0 оценок)