57 children tickets were sold on Saturday.
You could set this up as a system of equations.
x + y = 155
6.00x + 9.90y = 1312.20
First step is multiplying the first equation by -6 to use the elimination method.
-6.00x + -6.00y = -930
6.00x + 9.90y = 1312.20
The positive and negative 6x cancel out until you are only left with the y.
Combining them would make your equation...
3.9y = 382.2
Next you would divide by 3.9 on both sides to get the y by itself.
The result of that would be y = 98. Which means 98 adult tickets were sold. Then you would plug y into either of the equations to solve for x.
4x+2(3-2x)=10, 4x+6-4x=10, x+6=10, x=4
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
