Identify the solution(s) of the system of equations, if any.
x + 5y = 6
4x - 5y = 4

Question

Identify the solution(s) of the system of equations, if any.
x + 5y = 6
4x - 5y = 4

mathmale · Answer

Seeing that the terms in y are identical except for signs, I'd immediately add the two equations together.  This would eliminate y entirely and allow you to solve for x.  Please try it.  This method is called "elimination through addition/subtraction."

mathmale · Answer

Once you've done this, you'll need to plug your value for x into either one of the 2 given equations to determine the value of y.

whpalmer4 · Answer

I'll add one more thing: having found your solutions for x and y, you should try them in BOTH equations to make sure you haven't made an error.  It is possible to come up with a "solution" which will satisfy some of the equations in a system without satisfying all of the equations.

anonymous · Answer

Great, thank you!

mathmale · Answer

My great pleasure.