Question

Solve the equation 5w - 11 = 13w - 43 for the variable 'w'?

Answer 1

To solve the equation 5w - 11 = 13w - 43 for the variable 'w', combine like terms and isolate the variable on one side of the equation. Divide both sides by the coefficient of 'w' to find the value of 'w'. The solution is w = 4.

Step-by-step explanation:

To solve the equation 5w - 11 = 13w - 43 for the variable 'w', we need to isolate the variable on one side of the equation. First, we can combine like terms by subtracting 13w from both sides and adding 11 to both sides:

5w - 13w = -43 + 11

-8w = -32

Next, we can divide both sides of the equation by -8 to solve for w:

w = -32 / -8

w = 4

Answer 2

To solve the equation 5w - 11 = 13w - 43 for 'w', subtract 5w from and add 43 to both sides, simplify the resulting equation, and then divide by the coefficient of w, to find that w = 4.

Step-by-step explanation:

To solve the equation 5w - 11 = 13w - 43 for the variable 'w', we first need to get all terms containing w on one side of the equation and the constants on the other side. This can be done by subtracting 5w from both sides and adding 43 to both sides to obtain:

1. Subtract 5w from both sides: -11 + 43 = 13w - 5w
2. Simplify both sides: 32 = 8w
3. Divide both sides by 8: w = 32/8
4. Simplify the fraction: w = 4

Therefore, the solution to the equation is w = 4.