2x+3y=12 and y=x+1.5 in substitution form

(1.5, 3)

Step-by-step explanation:

Given the 2 equations

2x + 3y = 12 → (1)

y = x + 1.5 → (2)

Substitute y = x + 1. 5 into (1)

2x + 3(x + 1.5) = 12 ← distribute and simplify left side

2x + 3x + 4.5 = 12

5x + 4.5 = 12 ( subtract 4.5 from both sides )

5x = 7.5 ( divide both sides by 5 )

x = 1.5

Substitute x = 1.5 into (2) for corresponding value of y

y = 1.5 + 1.5 = 3

Solution is (1.5, 3)

Since we know the ratio is 5:2, brian got the lesser and his amount was 156, if we divide 156 by 2, we get 1/5th the value of Bogie's amount. 156/2 is 78, so multiply 78 by 5 and we get 390. Our ratio becomes 390:156, and 390 is your answer