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Answer:
The value of x is - 3 And The value of y = - 2
Step-by-step explanation:
Given equation as :
3 x - 8 y = 7 ......A
x + 2 y = - 7 ......B
<u>Applying Linear combination method :</u>
A linear combination method in which steps are taken to make both equation coefficient as like terms to get the value of variable .
<u>Step 1 </u>
multiply the equation B with 4
I,e 4 × ( x+ 2 y ) = - 7 × 4
or, 4 x + 8 y = - 28 ......C
<u>Step 2</u>
Arrange equation A and C in column
So , 3 x - 8 y = 7 .
4 x + 8 y = - 28
<u>Step 3</u>
Add Eq 3 with Eq 1
I.e ( 4 x + 8 y ) + ( 3 x - 8 y ) = 7 - 28
Or. ( 4 x + 3 x ) + ( 8 y - 8 y ) = - 21
Or, 7 x + 0 = - 21
∴ x = - = - 3
Put the value of x in eq A , to get the value of y
So , 3 × ( - 3 ) - 8 y = 7
Or, - 9 - 8 y = 7
Or, 8 y = - 9 - 7 = - 16
∴ y = = - 2
Hence The value of x is - 3 And The value of y = - 2 Answer