Question

Substitution Method
-8x-3y=13 and 3x+2y=8 ​

Answer 1

${\huge{\underline{\underline{\sf{\red{SOLUTION :-}}}}}}$

Given

⠀⠀⠀⠀⠀ • -8x-3y=13

⠀⠀⠀⠀⠀• 3x+2y=8

To Calculate

⠀⠀⠀⠀⠀• Value of x and y

Step by step explanation

⠀⠀⠀⠀⠀ ${\boxed{\red{\tt{</u></strong><strong><u>Substitution</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>:</u></strong><strong><u> </u></strong><strong><u>Method</u></strong><strong><u>}}}}$

⠀⠀⠀ • -8x-3y=13__________(1)

⠀⠀⠀• 3x+2y=8___________(2)

Take equation 2

⠀⠀⠀⠀⠀• 3x+2y=8

➯ 3x=8-2y

➯ x= 8-2y /3

Putting value of x in eq 1

⠀⠀⠀⠀⠀ • -8x-3y=13

➯ -8×(8-2y/3)-3y=13

➯ -64+16y/3 -3y=13

Take LCM

➯ -64+16y-9y/3 =13

➯ -64+16y-9y=39

➯ -64+7y=39

➯ 7y= 103

➯ y=103/7

${\boxed{\red{\tt{y= 103/7 }}}}$

Putting value of y in eq 2

• 3x+2y=8

➯ 3x+2×103/7=8

➯ 3x+206/7=8

Take LCM

➯ 21x+206 /7 =8

➯ 21x+206=56

➯ 21x=-150

➯ x= -150/21

${\boxed{\red{\tt{x= -150/21 }}}}$

${\huge{\underline{\underline{\sf{\red{Hence :-}}}}}}$

⠀⠀⠀⠀⠀➯ x= -150/21

⠀⠀⠀⠀⠀➯y= 103/7

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Answer 2

Answer:

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