SOLUTION: Write a system of two equations in two unknown for each problem. Solve each system by substitution. The sum of two numbers is �16 and their difference is 8. Find the numbe

Question 182290: Write a system of two equations in two unknown for each problem. Solve each system by substitution. The sum of two numbers is �16 and their difference is 8. Find the numbers
Answer by MathGuyJoe(20) (Show Source): You can put this solution on YOUR website!
First Equation
"The sum of two numbers is -16":
x + y = -16

Second Equation
"Their difference is 8":
x - y = 8

To solve by substitution, we take one equation and solve for one of the numbers (in terms of the other) -- let's solve the second equation for x (in terms of y). To do this we add "y" to both sides:



x - y (+ y) = 8 (+ y)

x = 8 + y

Next we substitute "8 + y" into the first equation, for "x" and solve for "y":



(8 + y) + y = -16

8 + 2y = -16

2y = -24

y = -12

Now that we know y is -12, we can substitute that value into either equation to find x -- let's substitute it into the first equation and solve for "x":



x + (-12) = -16

x = -4

So our two numbers are -4 and -12.
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