SOLUTION: x + y = 47 y + z = 62 x + z = 51 these are in one big braket together. solve it please i'm in algebra 1 working on linear combinations and substituions.

Algebra ->  Test -> SOLUTION: x + y = 47 y + z = 62 x + z = 51 these are in one big braket together. solve it please i'm in algebra 1 working on linear combinations and substituions.      Log On


   



Question 280149: x + y = 47
y + z = 62
x + z = 51 these are in one big braket together.
solve it please i'm in algebra 1 working on linear combinations and substituions.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the equation that shows the relationship between and . Solve it for in terms of .



Add to both sides:



Now, do the same thing with



to get



Now that we have an expression in that is equal to and another expression in that is equal to , we can substitute these expressions into the equation that shows the relationship between and , thus:





Now all you need to do is solve for . Knowing , it will be a simple subtraction to calculate either or .

By the way, the proper way to express your answer is an ordered triple of the form

John