The numbers are -5 and 2
Step-by-step explanation:
let the 1st number = x
second number = y
Seven times a number plus three times another number equals negitive one:
7 × x + 3 × y = -1
7x + 3y = -1
The sum of the two numbers is negitive three:
x + y = -3
7x + 3y = -1 ....equation 1
x + y = -3 .....equation 2
using elimination method:
multiply equation 2 by 7:
7x + 7y = -21
7x + 3y = -1
7x + 7y = -21
subtract equation 1 from 2:
7x - 7x + 7y - 3y = -21 -(-1)
4y = -20
y = -20/4
y = -5
substitute the value of y in equation 2:
x + (-5) = -3
x - 5 = -3
x = -3 + 5
x = 2
The numbers are -5 and 2