Problema Solution
One number is 11 less than 6 times another number. If their product is 7, find the positive numbers.
Answer provided by our tutors
let 'x' and 'y' are such numbers that is
x = 6*y - 11
x*y = 7
we need to find the positive such numbers that is
x > 0
y > 0
by solving the system of equations
x = 6*y - 11
x*y = 7
we find
Solution 1:
x = - 14
y = - 0.5
doesn't fulfill x>0 and y>0 thus is not the solutions of our problem.
Solution 2:
x = 3 > 0
y = 7/3 > 0
this is the solution.
The positive numbers are 3 and 7/3.