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Mathematics · 2020

JEE Main · 4 September 2020, Shift 1 · Q71

If the system of equations x-2 y+3 z =9; 2 x+y+z = b; x-7 y+ a z =24, has infinitely many solutions, then a - b is equal to \ \ \ \.

If the system of equations $$\begin{aligned} x-2 y+3 z & =9 \\ 2 x+y+z & =\mathrm{b} \\ x-7 y+\mathrm{a} z & =24, \text { has infinitely many } \end{aligned} $$ solutions, then $\displaystyle \mathrm{a}-\mathrm{b}$ is equal to \_\_\_\_.
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