Solve the system of linear equations by adding or subtracting -6x+y=5 7x-y=-4

Mathematics

2 answers:

bekas [8.4K]3 years ago

8 0

Adding you make it the opposite of

viva [34]3 years ago

8 0

You would add these equations together to solve by elimination. It is easiest to solve first for x because y cancels right off the bat.
You should get (1,11) as your solution

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$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}$

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$\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}$

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$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}$

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