Question 183046
I'm going to use the substitution method (as "x" is already isolated)



{{{4x - 9y = 30}}} Start with the second equation.



{{{4((9/4)y  + 7) - 9y = 30}}} Plug in {{{x = (9/4)y  + 7}}}



{{{4((9/4)y)  + 4(7) - 9y = 30}}} Distribute



{{{9y  + 28 - 9y = 30}}} Multiply and reduce




{{{0y+28=30}}} Combine like terms on the left side.



{{{0y=30-28}}} Subtract {{{28}}} from both sides.



{{{0y=2}}} Combine like terms on the right side.



{{{0=2}}} Simplify.



Since this equation is <font size=4><b>NEVER</b></font> true for any "y" value, this means that there are no solutions.



So the system is inconsistent.