Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to

.
Remember that an equation

represents a line with slope

and y-intercept

. Since both equations given have a slope of -2, but have different y-intercepts, they are
parallel.
Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
Pedro had 1482 hits and Riley had 1200 hits.
Step-by-step explanation:
Given,
Number of base hits = 2682
Let,
Number of Pedro's hits = x
Number of Riley's hits = y
According to given statement;
x+y=2682 Eqn 1
x = y+282 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 2

Putting y=1200 in Eqn 2

Pedro had 1482 hits and Riley had 1200 hits.
Keywords: linear equation, substitution method
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