Question

2x +3y= 7
(a-b)x+(a+b)y=3a+b-2​

Answer 1

Answer:  $a=\frac{5}{2}$  and  $b=\frac{1}{2}$

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Step-by-step explanation:

$2x+3y=7$    -----------> (2.)

$(a-b)x+(a+b)y=3a+b-2$   -----------> (1.)

(1.) and (2.) are equivalent

$a-b=2$  --------> (3.)

$a+b=3$  ---------> (4.)

$3a+b-2=7$  --------> (5.)

from (3.) and (4.) =>

=> $2a-b+b=2+3$

=>  $2a=5$

=>  $a=\frac{5}{2}$

put   $a=\frac{5}{2}$   in (4.)

=>  $\frac{5}{2} +b=3$

=>  $b=3-\frac{5}{2}$

=>  $b=\frac{1}{2}$