Hi

Note: the idea solving using substitution is for that to result

in an equation with ONE unknown.



2x+4y=12    OR  x = 6-2y    |solving for x

4x+16y=8   |Substituting that into the 2nd EQ

4(6-2y)+16y = 8    |now we have an EQ with ONE unknown

solving for y

 24 - 8y + 16y = 8

       8y = -16

        y = -2    and x = 10   (6- 2*-2)



CHECKING our Answer***

 4x+16y=8 

 40 -32=8 

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
 Solution:First we simplify the system dividing the first equation by 2 and the second by 4,and the system can be written:



, Express x in the first equation with respect to y and substitute in the second equation:







The second equation is a linear equation of one variable. We solve this equation with respect to y:



6+2y=2 => 2y=-4 => y=-2. Substitute this value of y in the first equation and find x: x=6-2(-2) => x=10. The ordered pair (10, -2) is the solution of our system.





Check: 



       



         

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