Question

Solve the problem by using a system of equations?

The sum of two numbers is 53, and their difference is 21. Find the numbers.

Answer 1

The sum of two numbers is 53 -----> x+y = 53

Answer 2

and their difference is 21 ----> x - y = 21

this is making 'x' the larger number

Answer 3

Add the two equations

x+y = 53
x-y = 21
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2x+0y = 74


2x = 74

x = ???

Now use this solution of x to find the solution for y.

Answer 4

x = 37 and y = 16

Answer 5

thanks! I didn't know you had to add the 2 equations together

Answer 6

that's just one of the many ways to do it

Answer 7

as long as its the easiest/most efficient way. It seems pretty good to me