SOLUTION: Solve the following by either elimination or substitution method: {x = 9/4y + 7 {4x - 9y = 30 Is the system inconsistent, are the equations dependent, or is the solution an o

Question 183046: Solve the following by either elimination or substitution method:
{x = 9/4y + 7
{4x - 9y = 30
Is the system inconsistent, are the equations dependent, or is the solution an ordered pair?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm going to use the substitution method (as "x" is already isolated)

Start with the second equation.

Plug in

Distribute

Multiply and reduce

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Simplify.

Since this equation is NEVER true for any "y" value, this means that there are no solutions.

So the system is inconsistent.
RELATED QUESTIONS
Solve the following by any method: {x = 9/4y + 7 {4x - 9y = 30 Is the system... (answered by stanbon)

Solve the following system by substitution: Solve the following system by... (answered by Nate)

Solve the system by substitution or elimination. If a system is inconsistent or has... (answered by Alan3354)

Hi, I'm having trouble with this problem: Solve the system by using either the... (answered by Fombitz,ewatrrr)

Please help me solve each system by graphing. 22. 3x -5y = -9 5x -6y = -8... (answered by Alan3354)

Solve system by the substitution method and indicate wheter each system is independent,... (answered by stanbon)

Determine if the system is dependent and consistent, inconsistent or dependent. If the... (answered by Fombitz)

Solve the system by using either the substitution or the elimination-by-addition method,... (answered by Mlallory_Pl)

Use the substitution method to solve the following system of equation 2x-9y=1... (answered by algebrahouse.com)