Q:

Use the drawing tool(s) to form the correct answer on the provided graph.Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate the solution to the system on the graph.

Accepted Solution

A:
Answer:The solution of the system of equations is (-3 , 5)Step-by-step explanation:* Lets describe the drawing of each line- The form of the equation of any line is y = mx + c, where m   is the slope of the line and c is the y-intercept (the point of   intersection between the line and the y-axis is (0 , c))* The line y = -x + 2 represented by the red line- The line intersect the y-axis at point (0 ,2)- The line intersect the x-axis at point (2 , 0)- The slope of the line is -1, so the angle between the positive   part of x-axis and the line is obtuse* The line x - 3y = -18 represented by blue line- Put the line in the form y = mx + c- The line is x - 3y = -18⇒ add 18 and 3y to both sides- The line is 3y = x + 18 ⇒ ÷ 3 both sides- The line is y = 1/3 x + 6- The line intersect the y-axis at point (0 ,6)- The line intersect the x-axis at point (-18 , 0)- The slope of the line is 1/3, so the angle between the positive   part of x-axis and the line is acute* Look to the attached graph- The point of intersection between the two line is the solution  of the system of equation- From the graph the point of intersection is (-3 , 5)* The solution of the system of equations is (-3 , 5)