Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
“Jesse bought 10 more pencils than erasers” means P = 10 + E
“A pencil costs $0.15” means that $0.15*P was spent on pencils
“an eraser costs $.22” means that $0.22*E was spent on erasers
“He paid a total of $4.46” means that $0.15*P + $0.22*E = $4.46
15*(10+E) + 22*E = 446
150 + 37E = 446
37E = 296
E = 8 Jesse bought 8 erasers
The answer is (2,0)
Explanation
So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.
X-y=2
+y. +y
X= y + 2
Now that we have solved for x we are going to plug it into the first equation!
Shown like this
Y+2 - 10y = 2
Then we solve it as a normal problem
So first we combine light terms
-9y+2=2
Then we isolate the variable
-9y+2=2
-2. -2
-9y = 0
Then we divide by -9 on both sides
-9y /-9 = 0 / -9
Y = 0
Now that we solved for y we plug it into one the equations to get the x value!
X - 0 = 2
X=2
The solution is (2,0)
I hope this helped you! Pls mark as brainliest
Answer:
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