Q:

PLEASE HELP ME!!!!! I HAVE TRIED THIS QUESTION 5X ALREADY AND I STILL CANNOT GET THE RIGHT ANSWER!!! I KNOW THE ANSWER BUT I HAVE TO SHOW MY WORK! PLEASE SHOW ME YOUR WORK AND HELP ME!! TYSSSSSSSSSSM!!!!!! 25 POINTS!!

Accepted Solution

A:
Answer:x = 3 and y = 2or (3,2)Step-by-step explanation:first equation (LCM = 3 x 4 x 5 = 60)(x+2)/5 - (9-x)/3 = (y - 6)/4 12(x+2) - 20(9-x) = 15(y - 6)12x + 24 - 180 + 20x = 15y - 9032x - 15y = -90 - 24 + 18032x - 15y = 66second equation: 8(x + 2) - (2x + y) = 2(x + 13)8x + 16 - 2x - y = 2x + 266x - y + 16 = 2x + 264x - y = 10 Now you have 2 equations:4x - y = 10  ---> y = 4x - 1032x - 15y = 66Substitute   y = 4x - 10 into 32x - 15y = 6632x - 15(4x - 10) = 6632x - 60x + 150 = 66-28x = -84     x = 3     y = 4(3) - 10     y = 12 - 10     y = 2Solutions: x = 3 and y = 2