Question 1130628

Solve the system of equations. (If the system is dependent, enter a general solution in terms of c.
{2x − y + z= 12
2y − 3z = −16
3y + 2z = 	2
(x, y, z) =
<pre>2x - y + z = 12 ------ eq (i)
2y - 3z = - 16 ------- eq (ii)
3y + 2z = 2 ---------- eq (iii)
5y - z = - 14 -------- Adding eqs (ii) & (iii) ------ eq (iv)
10y - 2z = - 28 ------ Multiplying eq (iv) by 2 ----- eq (v)
13y = - 26 ----------- Adding eqs (v) & (iii)
{{{highlight_green(matrix(1,5, y, "=", (- 26)/13, "=", - 2))}}}
The most difficult part has been done so now, you do the rest!