Question

What is the solution to this equation? 6+7(b−1)=5+b

A. b = 0
B. b = 1
C. b = 2
D. b = 5

Answer 1

To solve the equation 6+7(b−1)=5+b, we need to isolate the variable b. By following the steps, we find that the solution is b = 0.75. An equation is a condition on a variable such that two expressions in the variable should have equal value. The value of the variable for which the equation is satisfied is called the solution of the equation.

Step-by-step explanation:

To solve the equation 6+7(b−1)=5+b, we need to isolate the variable b. Let's solve it step-by-step:

Distribute 7 to b and -1: 6+7b-7=5+b

1. Combine like terms: 7b-7+b=5-6
2. Combine like terms again: 8b-7=-1
3. Add 7 to both sides: 8b-7+7=-1+7
4. Simplify: 8b=6
5. Divide both sides by 8: b=6/8
6. Simplify further: b=0.75

So, the solution to the equation is b = 0.75. Therefore, the correct answer is option B.

An equation is a condition on a variable such that two expressions in the variable should have equal value. The value of the variable for which the equation is satisfied is called the solution of the equation.

To solve any equation we need to perform arithmetic operations, to separate the variable, such as:

• Adding the same number on both sides
• Subtracting same number on both sides
• Multiplying with the same number on both sides
• Dividing by same number on both the sides