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Question Number 89649 by jagoll last updated on 18/Apr/20

$$\mathrm{If}\left(\begin{array}{c}\mathrm{a}-\mathrm{b}\mathrm{b}+\mathrm{c}\\ 3\mathrm{d}+\mathrm{c}2\mathrm{c}-\mathrm{d}\end{array}\right)=\left(\begin{array}{c}81\\ 76\end{array}\right)$$$$\mathrm{then}\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}=$$$$\mathrm{A}.-\frac{53}{7}\mathrm{B}.-\frac{18}{7}\mathrm{C}.\frac{43}{7}$$$$\mathrm{D}.\frac{38}{7}\mathrm{E}.\frac{53}{7}$$

Commented by jagoll last updated on 18/Apr/20

$${\mathrm{i}}^{\prime }\mathrm{m}\mathrm{got}\frac{53}{7}.\mathrm{it}\mathrm{correct}?$$

Commented by john santu last updated on 18/Apr/20

$$6d+2c=24$$$$-d+2c=6$$$$-------$$$$7d=18\Rightarrow d=\frac{18}{7}\wedge c=\frac{30}{7}$$$$\Rightarrow b+c=1\Rightarrow b=-\frac{23}{7}$$$$\Rightarrow a-b=8\Rightarrow a=\frac{33}{7}$$$$\therefore a+b+c+d=\frac{58}{7}$$$$$$

Commented by jagoll last updated on 19/Apr/20

$$\mathrm{thank}\mathrm{you}\mathrm{sir}.\mathrm{you}\mathrm{are}\mathrm{correct}$$

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