If 3a-2b=8 and a+3b=7 what is the value of 4a+b

Step-by-step explanation:

If a + 3b = 7, subtract 3b from both sides of the equation

-3b = - 3b then you get

a = 7-3b now plug this into the other equation: 3a-2b=8

3 (7-3b) - 2b = 8

21 - 9b - 2b = 8

21 - 11b = 8 add 11 b to both sides

+ 11b + 11b

21 = 8 + 11b subtract 8 from both sides

-8 - 8

13 = 11b

What is 4a+b?

4 (7-3b) + b =

(28 - 12b) + b =

28-11b (from above 13=11b)

28 - 13 = 15