Math, asked by Anonymous, 1 year ago

Solve for X and Y

2x + Y = 7

4x - 3Y + 1 = 0

Answers

Answered by abhi569
6

 \bold{ \: 2x + y = 7} \\  \\  \bold{y  = 7 - 2x} \:  \:  \:  \:  \: ...(i)



 \bold{ \underline{Putting \:  the \:  value \:  of \:  y \:  from \:  ( i )  \:  in  \: other \:  given \:  equation }}




 \bold{4x - 3y + 1 = 0} \\  \bold{ \:4x - 3(7 - 2x) + 1 = 0} \\  \bold{  \: 4x - 21 + 6x + 1 = 0 } \\  \bold{\:10x - 20 = 0 } \\   \bold{ \:10x = 20 } \\  \\  \bold{x =  \frac{20}{10} } \\  \\  \bold{x = 2}





 \bold{ \underline{ \: <br />Now, \:  Putting  \: the  \: value  \: of \:   x  \: in  \: ( i ),}}



 \bold{y = 7 - 2x} \\  \\  \bold{y = 7 - 2(2)} \\  \\  \bold{y = 7 -4} \\   \\  \bold{ \: y = 3}






Hence,

 \boxed{ \bold{ \: x = 2 \:  \:  \: }}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: and \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{ \bold{y = 3}}
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