Question

Solve this please y=5x-8 and y=6x+3 by elimination

Answer 1

Solutions 

$\left \{ {{y=5x -8} \atop {x=6x+3}} \right.$

 

Arrange equation  variables for elimination :

$\left \{ {{y=5x -8} \atop {x=6x=3}} \right.$



   y -   6x = 3
-  y -  5x = -8
______________
-x =  11

For y :

y - 6 x = 3

y - 6 ( - 11 ) = 3

y + 66 = 3

y = 3 - 66

y = -63

x = - 11      y = -63

Answer 2

Let     y = 5x - 8 - .........................1
   Let    y = 6x + 3 - ...................2
In elimination -> { equation 2 - equation 1 } 

 y = 5x-8 (-) y = 6x + 3
So we can cut y because +y -y gets cancelled.
-------------------------------------------------------------------------------------
->  5x = 8 (-) 6x = 3  
∴  -x = 11 
Value Of -x = 11.
 

y - 6x = 3 

-> y- 6(-11) = 3 
-> y + 66 = 3 
-> y = 3-66
∴ y = -63 

The value of " x = -11 " and " y = -63 ".

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