Answer:
the value of these two numbers are 1/2 and 3/2
Step-by-step explanation:
Given that:
x+y < 2 ---- (1)
y - x > 1 ---- (2)
From equation (2), let y > 1 + x then substitute it into equation (1)
x + 1 + x < 2
2x + 1 < 2
2x < 2 - 1
2x < 1
x < 1/2
From equation (2), replace the value of x to be 1/2
y - 1/2 > 1
y > 1 + 1/2
y > 3/2
The two equations are

and

the first equation can be solved for x to be

next you can substitute x in the second equation

Distribute 4 to everything in the parentheses

combine like terms:

subtract 28 from both sides of the equation

divide both sides by -1.5

plug this in to the original equation of x+y=7

subtract 4 from both sides.

Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:

Step-by-step explanation:
2.5=2x
2.5/2=x (of course when dividing by a fraction you multiply by the reciprocal so it would be 5/2*2/1
x=5/4
9514 1404 393
Answer:
- (a) unique triangle
- (b) more than one triangle
- (c) no triangle possible
Step-by-step explanation:
1. Three sides lengths uniquely specify a triangle.
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2. Three angle measures specify the shape of a triangle, but not its size. More than one triangle is possible with any given set of angle measures.
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3. If the lengths do not satisfy 3 + 7 > 10, which they do not, then no triangle can be formed.