SOLUTION: Hello. This a problem I am having trouble with in my lesson called the "Addition Method". I have to find the solution to the system of equations or, in other words, the ordered pai

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Hello. This a problem I am having trouble with in my lesson called the "Addition Method". I have to find the solution to the system of equations or, in other words, the ordered pai      Log On

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Expressions-with-variables Question 435297: Hello. This a problem I am having trouble with in my lesson called the "Addition Method". I have to find the solution to the system of equations or, in other words, the ordered pair that results from solving and substituting. I'm sure you already understand that though. :) Thanks in advance. (It is a multiple choice question so the 3 options are below where it says "The solution to the system of equations is _____.") 7x - 3y = 4 2x - 4y = 1 The solution to the system of equations is _____. --(13/34, -15/34) --(3/22, -7/22) --(13/22, 1/22) Answer by stanbon(57407)   (Show Source): You can put this solution on YOUR website!7x - 3y = 4 2x - 4y = 1 --------------- Note: Substitution is not the best way to solve this system of equations. --------------- However: Solve the 2nd equation for "y": 4y = 2x-1 y = (2x-1)/4 --- Substitute that into the 1st equation and solve for "x": --- 7x -(3/4)(2x-1) = 4 28x -3(2x-1) = 16 28x-6x+3 = 16 22x = 13 x = 13/22 -------------------- So I guess (13/22, 1/22) is the correct answer. Let's see. --- Substitute for "x" in the 1nd equation and solve for "y": 7x - 3y = 4 7(13/22) - 3y = 4 3y = (91/22)-(88/22) 3y = 3/22 y = 1/22 ================ OK ====================== Cheers, Stan H. =========================== The solution to the system of equations is _____. --(13/34, -15/34) --(3/22, -7/22) --(13/22, 1/22) ---------------------