Answer:
(2, 7) is the correct ordered pair.
Step-by-step explanation:
5x + 3y = 31
2x + 3y = 25 Subtract to eliminate the y variable:
3x = 6
x = 6/3
x = 2.
Substitute x = 2 in the first equation:
5*2 + 3y = 31
3y = 31-10 = 21
y = 21/3
y = 7.
Check the result by substituting for x and y in the second equation:
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25.
the third holds 3/20 more than the first ,didn't I just answer this?lol
Answer:
A computer costs $225 and a printer $150.
Step-by-step explanation:
Let c be the cost of a computer and p the cost of a printer, then:
3c + p = 825
4c + 2p = 1200
Multiply the first equation by -2:
-6c - 2p = -1650
Add this to the second equation:
-2c = -450
c = 225.
Now substitute c = 225 in the first equation:
3*225 + p = 825
p = 825 - 675 = 150.
Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
Answer:22
Step-by-step explanation:
Substitute and solve
