Solve using substitution method x+y=1,2x-3y=7.

1.	Solve using substitution method x+y=1,2x-3y=7.
Answer» Given: Two linear equations are given , which are; ( x+y ) = 1. ( 2x-3y )=7. To Find: To solve the given equations and hence FIND the values of x and y . Answer: Given equation are → ( x+y) = 1 ................. ① → ( 2x - 3y) = 7 ...............② Taking equation (1) , $\sf{\implies x + y = 1}$ $\bf{\leadsto x = ( 1-y)}$ $\rule{200}4$ Taking equation (2) , $\sf{\implies 2x - 3y = 7}$ $\sf{\implies 2(1-y)-3y=7}$ $\sf{\implies 2 - 2y -3y=7}$ $\sf{\implies -5y = 7-2}$ $\sf{\implies -5y=5}$ $\sf{\implies y =\dfrac{5}{-5}}$ $\boxed{\red{\bf{\longmapsto y =(-1)}}}$ $\rule{200}4$ Now putting this value in (1), $\sf{\implies x -1=1}$ $\sf{\implies x = 1+1}$ $\boxed{\red{\bf{\longmapsto x = 2 }}}$ $\rule{200}4$ Hence the required values are , → Value of x is 2 . → Value of y is (-1).

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