Answer:
y = 2x + 13
y = –x – 2
Step-by-step explanation:
The options are:
y = 2x + 13
y = -x - 2
y = 3x - 5
y= -(1/2)x + 6
y = -2x - 2
The graph is shown in the figure attached. There, point (-5, 3) is shown. Replacing it into the equations we get:
y = 2(-5) + 13 = 3 (so, it is a solution)
y = -(-5) - 2 = 3 (so, it is a solution)
y = 3(-5) - 5 = -20 ≠ 3 (so, it isn't a solution)
y= -(1/2)(-5) + 6 = 8.5 ≠ 3 (so, it isn't a solution)
y = -2(-5) - 2 = 8 ≠ 3 (so, it isn't a solution)
Answer:
See explanation
Step-by-step explanation:
Plot the solution sets to both inequalities.
1. For the inequality First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
2. For the inequality First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.
