[tex]{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]
[tex]\begin{gathered}\begin{aligned} & \mathbb{\large{ SYSTEM \: \: OF \: \: LINEAR \: \: INEQUALITIES }} \\ & \quad \boxed{\begin{array}{l} \rm{ \tt{Given:} } \\ \\ \rm{6x - 3y = 10} \\ \rm{ 2x - y = 9} \\ \\ \bullet \: \longrightarrow{\bm{ \: Slope \: Intercept \: Form } \: } \\ \boxed{ \sf{y = mx + b}} \\ \\ \rm{6x - 3y = 10} \\ \rm{ - 3y = - 6x + 10} \\ \rm{y = \cfrac{ - 6}{ - 3} + \cfrac{10}{3} } \\ \\ \rm{2x - y = 9} \\ \rm{ - y = - 2x + 9} \\ \rm{ - y = - 1( - 2x + 9)}\end{array}} \\ \\ \tt{Answer: } \\ \bf{{D. \: \: No \: \: solution }} \\ \\ \tt{ \underline{Remember:} }\\ \sf \small{Identify \: \: the \: \: slope \: \: of \: \: the \: \: equation . } \\ \\ \rm{ If \: the \: slope \: have \: different \: solution \: there \: is \: \underline{one \: solution}}. \\ \\ \small\rm{\: If \: they \: are \: the \: same \: there \: are \: \underline{infinite \: solution.}}\end {aligned}\end{gathered}[/tex]
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[tex]{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]
[tex]\begin{gathered}\begin{aligned} & \mathbb{\large{ SYSTEM \: \: OF \: \: LINEAR \: \: INEQUALITIES }} \\ & \quad \boxed{\begin{array}{l} \rm{ \tt{Given:} } \\ \\ \rm{6x - 3y = 10} \\ \rm{ 2x - y = 9} \\ \\ \bullet \: \longrightarrow{\bm{ \: Slope \: Intercept \: Form } \: } \\ \boxed{ \sf{y = mx + b}} \\ \\ \rm{6x - 3y = 10} \\ \rm{ - 3y = - 6x + 10} \\ \rm{y = \cfrac{ - 6}{ - 3} + \cfrac{10}{3} } \\ \\ \rm{2x - y = 9} \\ \rm{ - y = - 2x + 9} \\ \rm{ - y = - 1( - 2x + 9)}\end{array}} \\ \\ \tt{Answer: } \\ \bf{{D. \: \: No \: \: solution }} \\ \\ \tt{ \underline{Remember:} }\\ \sf \small{Identify \: \: the \: \: slope \: \: of \: \: the \: \: equation . } \\ \\ \rm{ If \: the \: slope \: have \: different \: solution \: there \: is \: \underline{one \: solution}}. \\ \\ \small\rm{\: If \: they \: are \: the \: same \: there \: are \: \underline{infinite \: solution.}}\end {aligned}\end{gathered}[/tex]
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