Answer:
a= 3.9 and b r - 5.5
Step-by-step explanation:
2a+3b=6
Let's write this in the form of b= (Solve for b).
3b+6 =2a
3b= 2a - 6
b = (2a - 6)/3
b= 2/3a - 1/2
Now substitute this in the original equation.
2a+3b=6
b= 2/3a - 1/2
2a + 2(2/3a - 1/2) - 12
2a + 4/3a - 1 - 12
Try to write a in terms of thirds. So use 2a =6/3a
6/3a + 4/3a - 1 - 12
10/3a -13
Solve for a means write in the form of a =
10/3a -13
10/3a =13
multiply both sides with 3/10
3/10 * 10/3a =. 3/10 * 13
30/30 a = 39/10
a = 39/10
Now substitute a = 39/10 in b= 2/3a - 1/2
b= 2/3a - 1/2
a = 39/10
b= 2/3 * 39/10 -12
b =78/30 - 12
b= - 5.5
