Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Solution of Simultaneous Linear Equation exercise 7.1 question 4 subquestion (i) maths textbook solution

Please solve RD Sharma class 12 chapter Solution of Simultaneous Linear Equation exercise 7.1 question 4 subquestion (i) maths textbook solution

Answers (1)

Answer:

Inconsistent

Given:

2x+5y=7 \: \: ,\: \: 6x+15y=13

Hint:

Inconsistent means two or more equations that are impossible to solve based on using one set of values for variables.

Solution:

The given system of equations can be expressed as follows

        A X=B \\ Here, \\ A=\left[\begin{array}{cc}2 & 5 \\ 6 & 15\end{array}\right] \quad, \quad X=\left[\begin{array}{l}x \\ y\end{array}\right] \quad and \quad B=\left[\begin{array}{c}7 \\ 13\end{array}\right] \\ Now, \\ |A|=\left|\begin{array}{cc}2 & 5 \\ 6 & 15\end{array}\right|=|30-30|=0

        C_{i j}\; be\; the\; co-\! f\! actor\; o\! f\; the\; elements\; a_{i j}\; in \; A=\left[a_{i j}\right].\; Then,

        \begin{aligned} &C_{11}=-1^{1+1}(15)=15 \quad, \quad C_{12}=-1^{1+2}(6)=-6 \\ &C_{21}=-1^{2+1}(5)=-5 \quad, \quad C_{22}=-1^{2+2}(2)=2 \\ &(a d j A) B=\left[\begin{array}{cc} 15 & -5 \\ -6 & 2 \end{array}\right]\left[\begin{array}{c} 7 \\ 13 \end{array}\right]=\left[\begin{array}{c} 105-65 \\ -42+26 \end{array}\right]=\left[\begin{array}{c} 40 \\ -16 \end{array}\right] \neq 0 \end{aligned}

Hence, the given system of equation is inconsistent.

Posted by

Gurleen Kaur

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question