If x=a and y=b is the solution of the equatio | vedclass

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(A) Given that $(x=a, y=b)$ is the solution of the system of linear equations:$x-y=2$ $\cdots$ $(i)$$x+y=4$ $\cdots$ $(ii)$Since $(a, b)$ satisfies bo

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$3$ and $1$

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(A) Given that $(x=a, y=b)$ is the solution of the system of linear equations:$x-y=2$ $\cdots$ $(i)$$x+y=4$ $\cdots$ $(ii)$Since $(a, b)$ satisfies both equations,we substitute $x=a$ and $y=b$ into the equations:$a-b=2$ $\cdots$ $(iii)$$a+b=4$ $\cdots$ $(iv)$Adding equations $(iii)$ and $(iv)$:$(a-b) + (a+b) = 2 + 4$$2a = 6$$a = 3$Substituting $a=3$ into equation $(iv)$:$3 + b = 4$$b = 4 - 3$$b = 1$Thus,the values of $a$ and $b$ are $3$ and $1$ respectively.

If $x=a$ and $y=b$ is the solution of the equations $x-y=2$ and $x+y=4,$ then the values of $a$ and $b$ are,respectively:

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