22B+5C5B+18C=-172.8-115.2

Divide -172.8 by -115.2.

22B+5C5B+18C=1.5

Multiply each term by 5B+18C and simplify.

Multiply each term in 22B+5C5B+18C=1.5 by 5B+18C.

22B+5C5B+18C⋅(5B+18C)=1.5⋅(5B+18C)

Cancel the common factor of 5B+18C.

Cancel the common factor.

22B+5C5B+18C⋅(5B+18C)=1.5⋅(5B+18C)

Rewrite the expression.

22B+5C=1.5⋅(5B+18C)

22B+5C=1.5⋅(5B+18C)

Simplify 1.5⋅(5B+18C).

Apply the distributive property.

22B+5C=1.5(5B)+1.5(18C)

Multiply.

Multiply 5 by 1.5.

22B+5C=7.5B+1.5(18C)

Multiply 18 by 1.5.

22B+5C=7.5B+27C

22B+5C=7.5B+27C

22B+5C=7.5B+27C

22B+5C=7.5B+27C

Move all terms containing B to the left side of the equation.

Subtract 7.5B from both sides of the equation.

22B+5C-7.5B=27C

Subtract 7.5B from 22B.

14.5B+5C=27C

14.5B+5C=27C

Move all terms not containing B to the right side of the equation.

Subtract 5C from both sides of the equation.

14.5B=27C-5C

Subtract 5C from 27C.

14.5B=22C

14.5B=22C

Divide each term by 14.5 and simplify.

Divide each term in 14.5B=22C by 14.5.

14.5B14.5=22C14.5

Cancel the common factor of 14.5.

B=22C14.5

Simplify 22C14.5.

Factor 22 out of 22C.

B=22(C)14.5

Factor 14.5 out of 14.5.

B=22(C)14.5(1)

Separate fractions.

B=2214.5⋅C1

Divide 22 by 14.5.

B=1.51724137C1

Divide C by 1.

B=1.51724137C

B=1.51724137C

B=1.51724137C

B=1.51724137C

Solve for B (22B+5C)/(5B+18C)=-172.8/-115.2