0 votes 0 votes Determine $a+b$ such that the following system of equations: $2x-(a-4)y=2b+1 \text{ and }4x-(a-1)y=5b-1$ infinite solutions. $11$ $9$ $10$ $8$ Quantitative Aptitude nielit2019feb-scientistc quantitative-aptitude system-of-equation + – Lakshman Bhaiya asked Apr 1, 2020 • recategorized Nov 8, 2020 by Krithiga2101 Lakshman Bhaiya 13.7k points 683 views answer comment Share See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Answer is C infinitely many solns, so $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ $\frac{2}{4}=\frac{-(a-4)}{-(a-1)}=\frac{2b+1}{5b-1}$ On solving, we get a = 7 and b = 3 So, (a+b) = 7 + 3 = 10 neethu_seb answered Dec 13, 2022 neethu_seb 3.4k points comment Share See all 0 reply Please log in or register to add a comment.