Solve the following systems of equations using the substitution method.
What type of system is it? Name the solution if there is one.
x=6y+2
3x-18y=4

Question

Solve the following systems of equations using the substitution method.  
What type of system is it?  Name the solution if there is one.
 x=6y+2
 3x-18y=4

shinalcantara · Answer

x=6y+2  ----equation 1
3x-18y=4 ----equation 2

substitute equation 1 to equation 2
3(6y+2)-18y=4
distribute 3
3(6y) +3(2)-18y=4
18y+6-18y=4
18y-18y=4-6
0 = -2
since it happened that the variable cancelled out therefore, the equations are equal
making the solution set for both x and y infinite..

shinalcantara · Answer

oh i got it wrong.. since zero is not equal to -2 then there are no solutions making the system inconsistent