# SOLUTION: Please assist me in helping to solve the following problem: 3x + 2y = 3 4x -3y = -13 Your analysis and comments are appreciated. Thank you.

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: Please assist me in helping to solve the following problem: 3x + 2y = 3 4x -3y = -13 Your analysis and comments are appreciated. Thank you.      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Absolute value Solvers Lessons Answers archive Quiz In Depth

 Question 338206: Please assist me in helping to solve the following problem: 3x + 2y = 3 4x -3y = -13 Your analysis and comments are appreciated. Thank you.Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!solve the following problem: 3x + 2y = 3 4x -3y = -13 -------------------- If you want to solve by elimination you need to have the same number of some variable in the numerator and in the denominator. You can pick either of the two variables but you must create the same number in both equations. --- Lets say you pick "x". ----- Multiply thru the 1st equation by 4 Multiply thru the 2nd equation by 3 ----- 12x + 8y = 4*3 12x - 9y = 3*-13 ---------------------- Subtract the 2nd equation from the 1st to get: 17y = 12--39 17y = 51 Divide both sides by 16 to get: y = 3 --- Substitute that into either of the original equations and solve for "x": 3x + 2y = 3 3x + 2*3 = 3 3x + 6 = 3 3x = -3 x = -1 ------- Check the solution in the "other" original equation: 4x -3y = -13 4(-1)-3(3) = -13 -4-9 = -13 -13 = -13 =============== Solution: x = -1 ; y = 3 ======================= Cheers, Stan H.