8x + 14y = 4 -6x - 7y=-10 / *2
8x + 14y=4 -12x -14y= -20
-4x=-16 => x=4; y= -2
y=4/7, x=-1/2 ;
To solve the system of equations 8 x + 14 y = 4 and − 6 x − 7 y = − 10 using elimination, first manipulate the second equation by multiplying it by 2 to align it for elimination with the first equation. After adding the equations and solving for x , substitute back to find y , resulting in the solution ( x , y ) = ( 4 , − 2 ) .
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