Question 920342
you have 2 equations.


6v + 5b = 208
12v + 4b = 224


you need to solve these equations simultaneosly to get a common solution for v and b.


multiply both sides of the first equation by 2 to get:


12v + 10b = 416
12v + 4b = 224


subtract the second equation from the first to get:


6b = 192


divide this equation by 6 to get:


b = 32


replace b with 32 in the first original equation to get:


6v + 5b = 208 becomes:


6v + 5*32 = 208


solve for v to get:


v = 8


you have v = 8 and b = 32


confirm by replacing v with 8 and b with 32 in both your original equations.


6v + 5b becomes 6*8 + 5*32 which becomes 48 + 160 which becomes 208 which agrees with the first original equation.


12v + 4b becomes 12*8 + 4*32 which becomes 96 + 128 which becomes 224 which agrees with the second original equation.


your solution is confirmed as good.


v = 8
b = 32