6x-y=6 I multiply all of this with 1

x+3y=20 I multiply all of this with 6

and its gonna be...

6x-y=6

6x+18y= 120

then subtract two of those....

-19y=-114

19y=114

y=114/19

y=6

while you now that y is 6 then just put it into the either one of the formula....

6x-y=6

6x -(6) =6

6x=6+6

6x=12

x=12/6

x=2

or you can choose the second formula

x+3y=20

x+ 3.(6)=20

x + 18=20

x=20-18

x=2

we get the same answer that x is equal to 2

so you got the answer that y=6 and x=2

thats all.... hope you understand my explanation...

6x-y=6 If the first equation was -3y, you could add the two equations together

and the y's are eliminated. So, multiply the first Equation by 3

18x -3y = 18

x +3y = 20 Now add the two equations, and watch the y's disappear

19x = 38................divide by 19

x = 2................substitute 2 instead of x in either of the ORIGINAL equations, solve for y

6x-y=6

6*2 -y = 6

12-y = 6

-y = -6

y = 6

6 X ( x + 3y = 20 ) = [ 6x + 18y = 120 ]---- { 6x - y = 6 ] - [ 6x +18y = 120 } = [ 6x - 6x = 0 ]

[ -y - 18y = -19y ] -- [ 6-120 = 114 ]--} --- [ -19y = -114 ]---- [ y = 6 ] ---- [ x + ( 3 x 6 ) = 20 ]------ [ x + 18 = 20 ]--- [ x - 20 - 18 ] --- [ x = 2 } --- [ 2 + ( 3 x 6) ] = [ 2 + 18 = 20 ] --------------------- [ ( 6 x 2 ) - 6 ] = { 12 - 6 ] = 6