Question

Use the drop-down menus to choose steps in order to correctly solve 1+2b−13=12−4b−2b1+2b-13=12-4b-2b for b

Answer 1

To solve the algebraic equation for b, one must simplify the equation, combine like terms, isolate the variable, and perform arithmetic operations to find b's value.

Step-by-step explanation:

To solve for b in the equation 1+2b−13=12−4b−2b, we will take the following steps:

1. First, simplify both sides of the equation if necessary.
2. Then combine like terms on each side of the equation to make them more manageable.
3. Next, we need to isolate the variable b on one side of the equation by adding or subtracting terms as needed.
4. After isolating b, we may need to divide or multiply to solve for the exact value of b.

In this instance, when we correctly combine like terms and simplify, we end up with a single variable b that we can solve for.

Answer 2

Given Equation : 1 + 2b - 13 = 12 - 4b - 2b

To write: Correct Steps to solve for b

In Step 1: We simplify constant in LHS.

⇒ 2b + ( 1 - 13 ) = 12 - 4b - 2b

⇒ 2b + ( -12 ) = 12 - 4b -2b

⇒ 2b - 12 = 12 - 4b - 2b

In Step 2: We simplify variable part in RHS

⇒ 2b - 12 = 12 + ( -4b -2b )

⇒ 2b - 12 = 12 + ( -6b )

⇒ 2b - 12 = 12 - 6b

In Step 3: We transpose 6b of RHS to LHS

⇒ 2b - 12 + 6b = 12

In Step 4: Now simplify variable in LHS

⇒ 2b + 6b - 12 = 12

⇒ 8b - 12 = 12

In Step 5: Transpose 12 to RHS

⇒ 8b = 12 + 12

In Step 6: Simplify constants in RHS

⇒ 8b = 24

In Step 7 transpose 8 to RHS

`\implies\:b\,=\,=(24)/(8)`

In Step 8: Simplify RHS

⇒ b = 3