SOLUTION: Please help!
Tell whether the given ordered triple is a solution of the system.
1) (5, -2, 2)
2x-y+z=5
x+2y-z=-1
-2x+y-3z=-15
2) (1, -1, 3)
4x+2y+3z=11
x-2y+z=6
Algebra.Com
Question 146537: Please help!
Tell whether the given ordered triple is a solution of the system.
1) (5, -2, 2)
2x-y+z=5
x+2y-z=-1
-2x+y-3z=-15
2) (1, -1, 3)
4x+2y+3z=11
x-2y+z=6
2x+y+2z=7
Thanks so much!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1)
------------------ Let's test the first equation ------------------
Start with the first equation.
Plug in , , and .
Evaluate and simplify the left side.
Since the equation is not true, this means that (5, -2, 2) is not a solution to the system. Remember, a solution has to satisfy all of the equations in the system.
2)
------------------ Let's test the first equation ------------------
Start with the first equation.
Plug in , , and .
Evaluate and simplify the left side.
Notice how the equation is true.
------------------ Now let's test the second equation ------------------
Start with the second equation.
Plug in , , and .
Evaluate and simplify the left side.
Notice how the equation is true.
------------------ Now let's test the third equation ------------------
Start with the third equation.
Plug in , , and .
Evaluate and simplify the left side.
Notice how the equation is true.
Since all of the equations in the system are true, this means that (1, -1, 3) is a solution.
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