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 1070! If three times the number of one-step equations minus twice the number of two-step equations is equal to 110, how many one-step equations auditioned today?

900

620

520

450

Question

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 1070! If three times the number of one-step equations minus twice the number of two-step equations is equal to 110, how many one-step equations auditioned today? 

 900 

 620 

 520 

 450

anonymous · Answer

Let x = one-step     and      y = two-step.

x + y = 1070        3x - 2y = 110

Are you able to solve this simulataneous system?

anonymous · Answer

2x + 2y = 2140        3x - 110 = 2y

2x + (3x - 110) = 2140

5x - 110 = 2140

5x = 2250

x = 450

y = 620

anonymous · Answer

And that's all there is to it @Solmyr

anonymous · Answer

thanks again