6 3/4 I think is a possible answer
The solution is (3 , 4) ⇒ 2nd answer
Step-by-step explanation:
The system of equations can be solved by:
- Elimination method
- Substitution method
The system of equations is:
y = 3 x - 5 ⇒ (1)
y = x + 3 ⇒ (2)
By using the substitution method substitute y in equation (2) by equation (1)
3 x - 5 = x + 3
Subtract x from both sides
x = 8
Divide both sides by
x = 3
substitute x by 3 in equation (1)
y = 3(3) - 5
y = 9 - 5
y = 4
The solution is (3 , 4)
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Answer: What is the "given polynomial expressions?"
Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.
Step-by-step explanation:
1). 2x + 3y = 33
2). 5x + 2y = 55
3). I’m going to use substitution.
Isolate a variable (x):
2x + 3y = 33
2x = -3y + 33
X = (-3y + 33)/2
X = -3/2y + 33/2
Substitute and solve for y:
5x + 2y = 55
5(-3/2y + 33/2) + 2y = 55
-15/2y + 165/2 + 2y = 55
-11/2y = -55/2
Y = 5 <— children’s ticket.
Solve for x:
2x + 3y = 33
2x + 3(5) = 33
2x + 15 = 33
2x = 18
X = 9 <— adult’s ticket.
Check:
5x + 2y = 55
5(9) + 2(5) = 55
45 + 10 = 55
55 = 55
2x + 3y = 33
2(9) + 3(5) = 33
18 + 15 = 33
33 = 33
The second one, 69/24 = 23/8 and cannot be simplified further