Question

Solve for X and Y

2x + Y = 7

4x - 3Y + 1 = 0

Answer 1

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



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




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





$\bold{ \underline{ \: Now, \: Putting \: the \: value \: of \: x \: in \: ( i ),}}$



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






Hence,

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