Answer: -111 and -205
Step-by-step explanation:
Using the description, we can set up equations to solve for the two numbers. First we assign variables to the numbers: Number 1 will be “x” and number 2 will be “y”.
For the first part [The sum of two numbers is -316] the equation will be:
x + y = -316
For the second part [One number is 94 less than the other] the equation will be:
x = y - 94
Those two equations give us a system of equations we can use to solve for the variables.
Equation 1: x + y = -316
Equation 2: x = y - 94
Since we have an equation for what x is (equation 2), we can substitute that into equation 1 and solve for y.
x + y = -316
(y - 94) + y = -316
[combine the ys]
2y - 94 = -316
[add 94 to both sides]
2y = -222
[divide by 2]
y = -111
Plug y into one of the equations and solve for x and you get: x = -205