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.Com
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)   (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


RELATED QUESTIONS

hi I am a student in algebra 2 and we are solving linear equalities for the values of x,... (answered by josgarithmetic)
I'm stuck on a problem in my algebra test. - Solve each system of equations. - 5x =... (answered by Edwin McCravy)
Hi Tutors: I have been working on this system in three for a few days. Please show me to (answered by longjonsilver)
solve for z in x/y =... (answered by MathLover1)
How do you solve these equations ? I'm trying to find linear systems in three variables . (answered by Edwin McCravy)
I need you to help with a graphical method. I do not understand it or algebra to beging... (answered by mananth)
Please help me rationalize denominator and numerator {{{... (answered by stanbon)
HI! How do I solve these linear equations using a matrix? x+y-z=0 x-y+z=c-b... (answered by josgarithmetic)
Please help me solve this problem. Determine all the value of k such that the... (answered by ikleyn)