Answer:
q = 1 and p = 3
Step-by-step explanation:
Since we are already given the value of x and y, then it will be easy to get what p and q is. What is needed to be done is just to insert the values of x and y in both equations
For equation 1
2x -py = 5
insert x = q and y = -1
2(q) -p(-1) = 5
2q + p = 5
for the second equation, we do same
4x + 5y + q = 0
insert x = q and y = -1
4(q) + 5(-1) + q = 0
4q -5 + q = 0
5q = 5
q = 5/5 = 1
Recall from above, 2q + p = 5
Insert q = 1, we have ;
2(1) + p = 5
2 + p = 5
p = 5-2
p = 3
Answer:
15 tables
Step-by-step explanation:
Chairs = $200
Tables = $600
Maximum items = 39
Minimum sales = $13,000
If 20 chairs are sold, revenue is $4,000. At least $9,000 in additional revenue is required. To earn $9,000, a minimum of 15 tables would need to be sold, which is fine since a maximum of 19 tables is permitted to be sold.
Answer is a= 51/7 or 7 2/7
Step by step
-2/3 (a + 3) = 5/3a - 19
Distribute to resolve parentheses
-2/3a -2 = 5/3a - 19
Now to move variables to one side
Add 2/3a to both sides
-2/3a + 2/3a -2 = 5/3a + 2/3a -19
Combine like terms
-2 = 7/3a -19
Add 19 to both sides to isolate variable
-2 +19 = 7/3a -19 + 19
17 = 7/3a
Divide both sides by 7/3 to solve for a
(Remember when you divide a fraction, flip it and multiply.)
17 * 3/7 = a
51/7 = a
Picture attached shows steps in order, I think that is what you also needed?