Answer:
The two numbers are 10 and 11.
Step-by-step explanation:
This can be solved by first listing the constraints (assuming x is smaller than y):
- x and y are less than 20
- x + 1 = yx+1=y
- 3x - 8 = 2y3x−8=2y
To get the numbers, we can create a system of linear equations. First, solve for yy in each expression:
[tex]y = x+1 [/tex]
[tex]2y = 3x-8\\y = \frac{3}{2}x - 4[/tex]
Solve for x:
[tex]x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x [/tex]
Solve for y:
[tex]y = x + 1\\y = 10 + 1\\y= 11[/tex]
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