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Solve the following system of linear …

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Solve the following system of linear equation graphically 3x +y-12=0 x-3y+6=0,shade the region bounded by these lines and also find the ratio of areas of a triangle firmed by given line
  • 1 answers

Sia ? 6 years, 6 months ago

Solution table for {tex}3x + y - 12 = 0 {/tex}

<th scope="row">x</th> <th scope="row">y</th>
0 4 2
12 0 6

Solution table for {tex}x - 3y + 6 = 0{/tex} 

<th scope="row">x</th> <th scope="row">y</th>
-6 0 -3
0 2 1


{tex}\triangle{/tex}ABC is the region bounded by the lines and x-axis.
Area {tex}\triangle{/tex}ABC = {tex}\frac{1}{2}{/tex}BC{tex}\times{/tex}AD = {tex}\frac{1}{2}{/tex}{tex}\times{/tex}10 {tex}\times{/tex}3 = {tex}15 sq.units{/tex}

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