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 1120. If three times the
number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations eliminated today? 1300 1120 708 412
"The number of one-step equations and two-step equations who have been eliminated today is equal to 1120" is the same as saying x + y = 1120 (where x is one-step, [ and y is two-step) "three times the number of one-step equations minus twice the number of two-step equations is equal to 1300" is the same as saying 3x - 2y = 1300 If x + y = 1120, then if you subtract y from both sides you get x
= 1120 - y If you substitute this value for x into the other equation (3x - 2y = 1300) you get 3x - 2y = 1300 3(1120 - y) - 2y = 1300 Solve for y 3360 - 3y - 2y = 1300 -5y = -2060 y = 412 Source: If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations eliminated today? 1300 1120 708 412 ]
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