Question
In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten $\left\{\begin{aligned} x-y & =6 \\ 2 x-3 z & =16 \\ 2 y+z & =4\end{aligned}\right.$
Step 1
From \( x - y = 6 \), we can express \( x \) in terms of \( y \): \[ x = y + 6 \] Step 2: Substitute \( x = y + 6 \) into the second equation \( 2x - 3z = 16 \): \[ 2(y + 6) - 3z = 16 \] \[ 2y + 12 - 3z = 16 \] \[ 2y - 3z = 4 \] Step 3: Now we have two equations Show more…
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