The equations that can be used to express the problem as a system of two linear equations in slope-intercept form are:
y  =  -x  +  11....................(1)
y  =  2x  -  1...............(2)
The two numbers are 1/3 and 2/3
Let the smaller number be x
Let the larger number be y
The sum of the two numbers is 11
This can be interpreted mathematically as:
x  +  y  =  11
This can be expressed in slope-intercept form as:
y  =  -x  +  11....................(1)
The larger number is 1 less than twice the smaller number
This can be expressed mathematically in slope-intercept form as:
y  =  2x  -  1...............(2)
Equate equations (1) and (2)
-x  +  1  =  2x  -  1
2x  +  x  =  1  +  1
3x  =  2
x  =  2/3
Substitute x = 2/3 into equation (2)
y = 2(2/3) - 1
y = 4/3 - 1
y  =  1/3
The equations that can be used to express the problem as a system of two linear equations in slope-intercept form are:
y  =  -x  +  11....................(1)
y  =  2x  -  1...............(2)
The two numbers are 1/3 and 2/3
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