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)
