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2 answers:
Answer:
The solution to the system is (-6, -9)
Step-by-step explanation:
In order to graph the system, we can find two points belonging to each equation and join them with a line. We look then for the point at which the lines intersect.
(a) Two points for the first line defined by: 3 x + 2 y = -36
What is the value of y when x=0?
3 (0) + 2 y = -36
then y = -36/2 = -18, then one point on this line is (0, -18)
What is the value of x when y = 0?
3 x + 2 (0) = -36
then x = -12, then a second point for this line is: (-12, 0)
When can draw the line that represents this first equation by joining the two points as shown in the attached image with the two points found and the line depicted in orange.
(b) Two points for the second line defined by: - x + 2 y = -12
What is the value for y when x = 0?
- (0) + 2 y = -12
then y = -12/2 = -6, therefore one point for this line is: (0, -6)
What is the value of x when y = 0?
- x + 2 (0) = -12,
then x= 12,and therefore another point for this line is (12. 0)
When can draw the line that represents this second equation by joining the two points we found, as shown in the attached image with the two points found and the line depicted in blue.
We see that the intersection of the two lnes takes place at x= -6 and y = -9. That is at the point (-6, -9)
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