The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have been eliminated today is equal to 610! If four times the number of one-step equations minus twice the number of two-step equations is equal to 340, how many one-step equations auditioned today?

Question

zepp · Answer

From the first sentence, you can say that
One-Step Equations + Two Steps Equations = 610
If 4 * One Step - 2 * Two Steps Equation = 340

So lets the # of One step equation be x and # of two steps equation be y

x - 7 = 610
4x - 2y = 340

And by using the substitution method, you can find the solution ;)

anonymous · Answer

let's say one-step equations is x and two-step equations is y
You should have two equations

1)  x+y=610

2)4x-2y=340

Solve the first for x and plug that into equation 2 to find y.

zepp · Answer

x + y = 610
4x - 2y = 340

It would be
x + y = 610
x = 610 - y

Substitute x into the second equation

4(610 - y) - 2y = 340
2440 - 4y - 2y = 340
2440 - 6y = 340
2440 - 340 = 6y
2100 = 6y
y = 2100/6
y = 350

Plug it back it this first equation

x + y = 610
x + 350 = 610
x = 260

anonymous · Answer

thank you.

zepp · Answer

x + y = 610
4x - 2y = 340

Then verify you answer, 
x= 260
y = 350

x + y = 610?
260 + 250 = 610

4(260) - 2(350) = 340?
340 = 340

Np ;)