Solve for x in the equation 102.5 (x - 11.92) = 71.6. Round your answer to 3 decimal places
To solve for x, we can start by dividing both sides of the equation by 102.5:
(x - 11.92) = 71.6/102.5
Simplifying the right side gives:
(x - 11.92) = 0.6985
To isolate x, we can add 11.92 to both sides of the equation:
x = 0.6985 + 11.92
Simplifying the right side gives:
x = 12.6185
Rounded to three decimal places, x ≈ 12.619.
Solve for n in the equation 50.3 (n + 9.25) = -120.72
To solve for n, we can start by dividing both sides of the equation by 50.3:
(n + 9.25) = -120.72/50.3
Simplifying the right side gives:
(n + 9.25) = -2.4
To isolate n, we can subtract 9.25 from both sides of the equation:
n = -2.4 - 9.25
Simplifying the right side gives:
n = -11.65
Therefore, n = -11.65.
To solve for x in the equation 102.5 (x - 11.92) = 71.6, we will follow these steps:
Step 1: Distribute the 102.5 to both terms inside the parentheses:
102.5 × x - 102.5 × 11.92 = 71.6
This simplifies to:
102.5x - 1217 = 71.6
Step 2: Isolate the variable x by moving the constant term to the other side of the equation. Add 1217 to both sides:
102.5x - 1217 + 1217 = 71.6 + 1217
102.5x = 1288.6
Step 3: Now, divide both sides of the equation by 102.5 to solve for x:
102.5x / 102.5 = 1288.6 / 102.5
x = 12.57
Step 4: Round the final answer to three decimal places, as requested in the question:
x ≈ 12.570
Therefore, the solution for x in the equation 102.5 (x - 11.92) = 71.6, rounded to three decimal places, is approximately 12.570.