The solution set of the pair of equations x+y | vedclass

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(D) Given equations are $x+y+1=0$ and $3x+3y+2=0$.Comparing these with $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$,we have $a_1=1, b_1=1, c_1=1$ and $a_2=

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empty set

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(D) Given equations are $x+y+1=0$ and $3x+3y+2=0$.Comparing these with $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$,we have $a_1=1, b_1=1, c_1=1$ and $a_2=3, b_2=3, c_2=2$.Calculating the ratios: $\frac{a_1}{a_2} = \frac{1}{3}$,$\frac{b_1}{b_2} = \frac{1}{3}$,and $\frac{c_1}{c_2} = \frac{1}{2}$.Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$,the lines represented by these equations are parallel.Parallel lines do not intersect at any point,which means the system has no solution.Therefore,the solution set is an empty set.

The solution set of the pair of equations $x+y+1=0$ and $3x+3y+2=0$ is .........

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