Question

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!!

Answer 1

x = 3 and y = 2

or

(3,2)

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 - 90

32x - 15y = -90 - 24 + 180

32x - 15y = 66

second equation:

8(x + 2) - (2x + y) = 2(x + 13)

8x + 16 - 2x - y = 2x + 26

6x - y + 16 = 2x + 26

4x - y = 10

Now you have 2 equations:

4x - y = 10 ---> y = 4x - 10

32x - 15y = 66

Substitute y = 4x - 10 into 32x - 15y = 66

32x - 15(4x - 10) = 66

32x - 60x + 150 = 66

-28x = -84

x = 3

y = 4(3) - 10

y = 12 - 10

y = 2

Solutions: x = 3 and y = 2