Question 310600
let x = "a number
let y = "another number"
:
Write an equation for each statement:
:
"a number is five less than another number"
x = y - 5 (x is the smaller number)
or
y = (x+5)
:
"the difference between twice the larger and three times the smaller number is six"
2y - 3x = 6
replace y with (x+5)
2(x+5) - 3x = 6
2x + 10 - 3x = 6
2x - 3x = 6 - 10
-x = -4
 x = 4 is the smaller number
:
Find the cube of the smaller number
4^2 = 64
:
:
Check solution in the statement
"the difference between twice the larger and three times the smaller number is six"
y = 4 + 5 = 9
2(9) - 3(4) = 
18 - 12 = 6