# Solve the following system of linear using cramers rules.x+2y-2z=-1, 3x+8y+2z=28, 4x+9y+2z=14

$x+2y-2z=-1\\*3x+8y+2z=28\\*4x+9y+2z=14\\*Matrix\;equation\Rightarrow AX=B\\*A=\begin{vmatrix}1 & 2 & -2\\ 3 & 8 & 2\\4 & 9 &2\end{vmatrix}\\*X =\begin{vmatrix}x\\y\\z\end{}\\*B=\begin{vmatrix}-1\\ 28\\14\end{vmatrix}\\* Now,\;find\;\Delta_1,\;\Delta_2,\;\Delta_3\;and\;\Delta\\*\Rightarrow\Delta= |A|=12\\*\Delta_1=\begin{vmatrix}-1 & 2 & -2\\28 & 8 & 2\\14 & 9 & 2 \end {vmatrix}=-222\\*\\*\Delta_2=\begin{vmatrix}1 & -1 & -2\\3 & 28 & 2\\4 & 14 &2 \end{vmatrix}=166\\*\Delta_3=\begin{vmatrix}1 & 2 & -1\\ 3 & 8 & 28\\4 & 9 &14 \end{vmatrix}=5\\*required\;solutions\;are\\*x= \frac{\Delta_1}{\Delta}=\frac{-222}{12}=\frac{37}{2}\\*y=\frac{\Delta_2}{\Delta}=\frac{166}{12}=\frac{83}{6}\\*z=\frac{\Delta_3}{\Delta}=\frac{5}{12}$

## Most Viewed Questions

### Preparation Products

##### Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
##### Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
##### NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
##### NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-