The sum of two numbers is -149. one number is 5 less than the other. find the numbers

DEFINE VARIABLES:
x- first number
y- second number

FORM THE TWO EQUATIONS:
x + y = -149
x = y-5

PLUG IN FIRST VALUE TO FIND SECOND (order you plug in doesn’t matter):
(y-5) + y = -149

SIMPLIFY:
(y-5) + y = -149
2y -5 = -149
2y = -144
y = -72

PLUG IN SECOND VALUE TO FIND FIRST:
x + y = -149 —> y = -x-149

x = (-x-149) -5
x = -x -154
2x = -154
x= -77

WRITE FINAL SOLUTION:
(x,y)
(-77, -72)