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x+y=12
xtherefore, 3x+1=2y+2

here we can use simultaneous equations. in particular substitution. This is where we can deduce the value of one variable by including another.
here we will bring the "y" value to the right side, thus giving us our "x" value.
x=12-y

from here we substitute this x value into the second equation and we can use simple algebra to figure out "y".

3(12-y)+1=2y+2
36-3y+1=2y+2
35=5y
y=7

now we substitute this value into the first equation to find "x"

x+7=12
x=5

i hope this has been of some assistance.

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Q: The sum of two numbers is twelve the total of the three times the smaller number and one is two more than twice the larger number find the two numbers?
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