Question

Solve using cross multiplication method x+y=1 and 2x-3y=11

Answer 1

Answer:

x+y=1 and 2x-3y=11

By cross multiplication method:

x=y-1 ….......(1)

Substituting x value in 2x-3y=11

2(y-1)-3y=11

2y-2-3y=11

-2-y=11

-y=11+2

-y=13

y=-13

Substituting y value in (1)

x=13-1

=12

Therefore x=12, y=13

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Answer 2

$given \: eq. \: \: \: is \: \: \: \: x + y = 1$

$x = 1 - y \: \: \: \: ........(1)$

$2x - 3y = 11 \: \: \: \: .......(2)$

$2(1 - y) - 3y = 11 \\ \\ = > 2 - 2y - 3y = 11 \\ \\ = > 2 - 5y = 11 \\ \\ = > - 5y = 11 - 2 \\ \\ = > - 5y = 9 \\ \\ = > y = - \frac{9}{5}$

$substitute \: \: y \: = - \frac{ 9}{5} \: \: in \: (1) \: we \: get$

$= > x = 1 - y \\ \\ = > x = 1 - ( - \frac{9}{5} )$

$= > x = 1 + \frac{9}{5} \\ \\ = > x = \frac{14}{5}$

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