One number is five more than a second number. Thrice the first is 5 less than 4 times the second. Find the numbers.

Question

One number is five more than a second number. Thrice the first is 5 less than 4 times the second. Find the numbers.

Let x represent one number and y represent the second number.

Answer 1

x + 5 = y, 3x = -5 +4y

3x +15 = y

3x +5 = 4y

subtract

-3y = 10

y = -10/3, x =-10/3 -5 = -25/3 (x,y) = (-25/3, - 10/3) = (-8 1/3, -3 1/3)