Question

Use the LS = RS check to make sure you were correct for 1b.

1b = x+3 / 4 = 2
(x + 3/ 4) x (4) = (2) x (4)
x + 3 = 8
x + 3 - 3 = 8 - 3
x = 5

Answer 1

The question is about verifying the solution to a linear equation by substituting the found value of x back into the equation and performing the LS = RS check. The solution x = 5 was confirmed by substituting it back into the original equation and checking that both sides are equal.

Step-by-step explanation:

The question involves verifying a solution to a linear equation following the Left Side (LS) equals Right Side (RS) check. In solving for x, the equation x + 3 / 4 = 2 was given and solved as follows:

1. Multiplying both sides by 4 to eliminate the fraction: (x + 3 / 4) × 4 = 2 × 4 leading to x + 3 = 8.
2. Subtracting 3 from both sides to isolate x: x + 3 - 3 = 8 - 3 resulting in x = 5.

To confirm that x = 5 is the correct solution, we substitute x back into the original equation:

(5 + 3) / 4 = 2 which simplifies to 8 / 4 = 2. This confirms that 2 = 2, which means the solution x = 5 satisfies the equation.

Verifying the solution involves substituting the found value of x back into the original equation and ensuring that both sides are equal. This is usually the final step in solving algebraic equations, ensuring the derived solution is accurate.