Question

What is the solution of the system
3x + 2y =18
Y= -2/3x + 12

Answer 1

3x = 18-2y

x= 6 - 2/3y

then substitute in the second equation

Y= -2/3x + 12

y=-2/3(6-2/3y)+12

y= 72/5

then substitute y= 72/5 in the first equation x= 6 - 2/3y

then x = -18/5

Answer 2

3x + 2y =18


Y= -2/3x + 12

3x + 2(-2/3x+12) = 18

3x + (-4/3x+24) = 18

3x + -1 1/3x +24 =18

1 2/3x +24 = 18

1 2/3x = -6

5/3x = -6

x = -3.75

Explanation: