I need to write this 1/2 as a decimal and a fraction
2 answers:
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First convert the first equation to combine like terms. Then set your equations up as an addition problem. You want at least one of your variables (y) to be of opposite values so the will cancel out to leave you with just one variable (x). Plug in 1/3 for the x into one of the equations to solve for y. Then write as an ordered pair.
You have such entry data:
Consider expression
. If this expression becomes an integer, then b=4,9,16,25, because then 
2,3,4,5, respectively. In other cases 
is not integer and thus the expression also is not integer.
1. b=4, then
. Here a=2,7 (in other cases 
is not integer). When a=2, 
and when a=7, 
.
2. b=9, then a=6 and
.
3. b=16, then a=5 and
.
4. b=25, then a=4 and
.
Answer: (2,4), (7,4), (6,9), (5,16), (4,25).
Consider expression
1. b=4, then
2. b=9, then a=6 and
3. b=16, then a=5 and
4. b=25, then a=4 and
Answer: (2,4), (7,4), (6,9), (5,16), (4,25).
