# SOLUTION: 3x+2y=4 4x-5y=4 I have to solve to get an x and a y and i'm totally confused about how to go about it. I'm trying to help a friend and explain it but i forget how to do these e

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3x+2y=4 4x-5y=4 I have to solve to get an x and a y and i'm totally confused about how to go about it. I'm trying to help a friend and explain it but i forget how to do these e      Log On

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 Click here to see ALL problems on logarithm Question 22321: 3x+2y=4 4x-5y=4 I have to solve to get an x and a y and i'm totally confused about how to go about it. I'm trying to help a friend and explain it but i forget how to do these equations. Thank you for your helpAnswer by MORUPHOSUOLALE(24)   (Show Source): You can put this solution on YOUR website! SOLUTION THIS IS A SIMULTANEOUS EQUATION. YOU CAN EITHER SOLVE IT BY ELIMINATION METHOD OR SUBSTITUTION METHOD. ELIMINATION METHOD HAS BEEN THE EASIEST AND FAST METHOD OF SOLVING ANY SIMULTANEOUS EQUATION. LET'S SEE:BY ELIMINATION METHOD. 3X+2Y=4 --eq 1 4X-5Y=4 --eq 2 STEP 1 MULTIPLY EQUATION ONE BY 4 THROUGHOUT AND SIMULTANEOUSLY MULTIPLY EQUATION TWO BY 3 THROUGHOUT.( 3 WAS DERIVE FROM CO-EFFICIENT OF X IN EQUATION ONE AND 4 WAS DERIVE FROM CO-EFFICIENT OF X IN EQUATION TWO,THIS IS TRUE ALL THE TIME FOR ANY SIMULATENEOUS EQUATION USING ELIMINATION METHOD APPROACH. THOSE EQUATION WILL BECOME 12X+8Y=16 --EQ 3 12X-15Y=12--EQ 4 STEP TWO- SUBTRACT EQUATION 4 FROM EQUATION THREE 23Y=4 Y=4/23 TO GET THE VALUE OF X. PLUG IN 4/23 FOR Y ,IN ANY OF THE EQUATION TO GET X. 3X+2Y=4 -EQ 1 3X+2(4/23]=4 3x+8/23=4 3x=4-(8/23)(by collecting like terms} 3x=(92-8}/23 3x=84/23 x={84/23}X (1/3} X=28/23 we can always check if we are right by proof evaluattion. by plugging both values of x and y in any of the equation respectively if we do so the left hand side must eqaul to the right hand side to certify that we are right. let'see- by taking any equation,say equation one. 3x+2Y=4 3{28/23)+2(4/23)=4 (84/23)+(8/23}=4 3.65 + 0.35 =4 This tells us our value of x and y are correct,this proof is true at all time to proof or check any given value of x and y,in any simulataneous equation problems. Thank you. Moruph Osuolale mosuolal@uncc.edu