The solution set of a pair of equations x+y-2 | vedclass

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(D) Given the pair of linear equations:$x+y-2=0$ $...(1)$$2x+2y-4=0$ $...(2)$Divide equation $(2)$ by $2$:$\frac{2x}{2} + \frac{2y}{2} - \frac{4}{2} =

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infinite set

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(D) Given the pair of linear equations:$x+y-2=0$ $...(1)$$2x+2y-4=0$ $...(2)$Divide equation $(2)$ by $2$:$\frac{2x}{2} + \frac{2y}{2} - \frac{4}{2} = \frac{0}{2}$$x+y-2=0$ $...(3)$Comparing equation $(1)$ and equation $(3)$,we observe that both equations are identical.Since the equations are coincident,they represent the same line.Therefore,the pair of equations has infinitely many solutions,and the solution set is an infinite set.

The solution set of a pair of equations $x+y-2=0$ and $2x+2y-4=0$ is $\ldots \ldots \ldots . . . .$

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