Solve: 2x + 3y + z = -3 x + 4y - 3z = -23 3x - y +2z = 14 I don't even know how to start this problem:(

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Solve: 2x + 3y + z = -3 x + 4y - 3z = -23 3x - y +2z = 14 I don't even know how to start this problem:(

Mathematics
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have u learnt Cramer's rule?
or the matrix method?
No I have not. At least I don't believe so. I know I need to reduce the problem down to like 2 equations

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then which method would u adopt for the solution?
we can reduce the equations into two variables n two equtations
would I need to set the equations equal to zero and factor?
no u have to eliminate one variable, then solving them simultaneously
like, we can choose eq 1 and 2 n eliminate x,say
likewise we can select eq 2 n three, again eliminate x
we get a et of two eqs in 2 variables
got it?or u need the solution?
Can you show me the steps? That would help me a lot.
I am studying for my final and this is a practice problem I am doing, I just can't figure it out.
multiply eq 2 with 2 and subtract eq 1 and 2 2x+3y+z=-3 2x-2y+4z=28 ---------------------- 5y-3z=-31(on subtraction)
right?
similarly multiplying eq 2 by 3 and subtracting 2 and 3
3x+12y-9z=-69 3x-y+2z=14 --------------- -13y-11z=-83
is it ok?
yes, Thank you.
now there r two equations in two variables u can use either substitution method or elimination method
2x+3y+z=-3 2x+8y-6z=-46 --------------- -5y+7z=-43
i missed the multiplication by 2 first :(
I don't know, its just still very confusing to me. So can you go back to the beginning..... I have 2x + 3y + z = -3 but where did the equation blow it come from?

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