Question

find the value of x and y. 3x _ y = 40 2x -y = 25​

Answer 1

Solution :-

Hence, 3x - y = 40 and 2x - y = 25. So the the value of ‘x’ and ‘y’ are,

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By solving for ‘y’ the value is,

$= > 2x - y = 25 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > \blue{ y = (- 25 + 2x)} .....[1]$

By putting the value of ‘y’ the value of ‘x’ is,

$= > 3x - y = 40 \\ \\ = > 3x - ( - 25 + 2x) = 40...from[1] \\ \\ = > 3x + 25 - 2x = 40 \\ \\ = > 3x - 2x + 25 = 40 \\ \\ = > x + 25 = 40 \\ \\ = > x = 40 - 25 \\ \\ = > \green{ \boxed{ x = 15}}....[2]$

By putting the value of ‘x’ the value of ‘y’ is,

$= > y = ( - 25 + 2x)...from[1] \\ \\ = > y = ( - 25 + 2 \times 15)...from[2] \\ \\ = > y = ( - 25 + 30) \\ \\ = > \green{\boxed{ y = 5}}....[3]$

$∴ \green{\boxed{(x,y) = (15,5)}}....from[2 and 3]$

∴ The value of ‘x’ and ‘y’ are ‘15’ and ‘5’ respectively.