Question

Solve the following equation for b. 5b 6a – 7 = 2b 9a

a) b = 5a + 7
b) b = a + 7
c) b = 7
d) b = 5a

Answer 1

To solve the equation 5b - 6a - 7 = 2b - 9a for b, you need to isolate the variable b on one side of the equation. The solution for b is b = 7 - a.

Step-by-step explanation:

To solve the equation 5b - 6a - 7 = 2b - 9a for b, we need to isolate the variable b on one side of the equation.

Step 1: Combine like terms on both sides of the equation. This yields 3b - 6a - 7 = -9a.

Step 2: Add 9a to both sides to eliminate the -9a term on the right side of the equation. This gives us 3b - 6a + 9a - 7 = 0.

Step 3: Combine like terms again to simplify the equation. This gives us 3b + 3a - 7 = 0.

Step 4: Add 7 to both sides to eliminate the -7 term on the left side of the equation. This gives us 3b + 3a = 7.

Step 5: Divide both sides by 3 to solve for b. This leaves us with b + a = 7.

Therefore, the solution for b is b = 7 - a.