# SOLUTION: 7. Solve {{{system(x+3y-z = -2, 4x+6y+3z = 4, 2x-y+2z = 10)}}}

Algebra ->  Algebra  -> Graphs -> SOLUTION: 7. Solve {{{system(x+3y-z = -2, 4x+6y+3z = 4, 2x-y+2z = 10)}}}      Log On

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 143738: 7. Solve Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website! Equation 1 Equation 2 Equation 3 Multiply both sides of Equation 1 by 2 Distribute and multiply. Let's call this Equation 4 Now add Equation 4 to Equation 3 and call the result Equation 5 Equation 4 + Equation 3 ------------------ Equation 5 Multiply both sides of Equation 1 by 3 Distribute and multiply. Let's call this Equation 6 Now add Equation 5 to Equation 2 and call the result Equation 7 Equation 5 + Equation 2 ------------------ Equation 7 So we now have the two equations Equation 5 and Equation 7 Equation 5 Equation 7 Multiply both sides of Equation 5 by -3 Equation 7 Distribute Equation 7 Now add the equations + --------------------------- Divide both sides of the resulting equation by -5 to isolate x Reduce. So this is the first part of our answer. Go back to Equation 7 Plug in Multiply Subtract 28 from both sides Combine like terms on the right side Divide both sides by 15 to isolate y Reduce. So this is the second part of our answer. Go back to Equation 1 Plug in and Multiply Combine like terms on the left side Add 2 to both sides Combine like terms on the right side Divide both sides by -1 to isolate z Divide. So this is the third part of our answer. ========================================================================== Answer: So our answer is , and which forms the point (4,-2,0)