You can put this solution on YOUR website! the sum of two integers is 1.
if the smaller integer is 11 less than 5 times the larger,
what are the integers?
:
"the sum of two integers is 1."
x + y = 1
or
y = (1-x)
;
"the smaller integer is 11 less than 5 times the larger,"
y = 5x - 11
:
what are the integers?
Substitute (1-x) for y in the above equation
1 - x = 5x - 11
:
1 + 11 = 5x + x
:
12 = 6x
x =
x = 2
Find y
y = 1 - x
y = 1 - 2
y = -1
:
Two integers: 2, -1;
:
;
Check solution in the statement:
"the smaller integer is 11 less than 5 times the larger,"
-1 = 5(2) - 11
-1 = 10 - 11