Question

1. Draw the graph of each of the following linear equations.
1) 2y = -x+1 ,ii)-x+y=6 ,3) 3x + 5y = 15 ,4) X/2- y/3=3​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

1) 2y=-x+1

➙x= 1-2y

$\large \boxed{\begin{tabular}{c|c|c|c}x & 1 &- 1 & -3 \\ \cline{1-4} y & 0 & 1 & 2\end{tabular}}$

2)-x+y=6

➙y=x+6

$\large \boxed{\begin{tabular}{c|c|c|c}x & 0 & 1 & 2 \\ \cline{1-4} y & 6 & 7& 8\end{tabular}}$

3)3x+5y=15

➙x= 15-5y/3

$\large \boxed{\begin{tabular}{c|c|c|c}x & 5 & 0 & -5 \\ \cline{1-4} y & 0 & 3 & 6\end{tabular}}$

4)x/2-y/3=3

➙taking LCM

➙3x-2y/6=3

➙3x-2y=18

➙3x=18+2y

➙x=18+2y/3

$\large \boxed{\begin{tabular}{c|c|c|c}x & 6 & 8 & 10 \\ \cline{1-4} y & 0 & 3 & 6\end{tabular}}$

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