Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
Answer:
inactivity fee for plato users :)
Step-by-step explanation:
Answer:
Doesnt he still have 3? All he did was drop 2
Step-by-step explanation: