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Solving the Equation
To solve the equation, we need to determine the value of the variable that satisfies the equation. Let's analyze each equation provided and find the solution.
1. +86 = 792 - The solution to this equation is x = 792 - 86 = 706. 2. -2/9 = 5.6 - The solution to this equation is x = -2/9 ÷ 5.6 = -0.3571. 3. x * 3.5 + x = 180 - To solve this equation, we can combine like terms and isolate the variable: - 3.5x + x = 180 - 4.5x = 180 - x = 180 ÷ 4.5 - x = 40 4. e^(x-2) = 0 - To solve this equation, we need to find the value of x that makes the exponential expression equal to zero. Since any number raised to the power of 0 is 1, there is no solution to this equation. 5. (8x-3)/7 - (3x+1)/10 = 2 - To solve this equation, we can simplify and isolate the variable: - (8x - 3)/7 - (3x + 1)/10 = 2 - 10(8x - 3) - 7(3x + 1) = 2 * 70 - 80x - 30 - 21x - 7 = 140 - 59x - 37 = 140 - 59x = 140 + 37 - 59x = 177 - x = 177/59 - x = 3 6. () -0.7 = 5 - To solve this equation, we can isolate the variable: - x = 5 / (-0.7) - x = -50/7 - x = -7.1429 Therefore, the solutions to the given equations are as follows: 1. +86 = 792: x = 706 2. -2/9 = 5.6: x = -0.3571 3. x * 3.5 + x = 180: x = 40 4. e^(x-2) = 0: No solution 5. (8x-3)/7 - (3x+1)/10 = 2: x = 3 6. () -0.7 = 5: x = -7.1429


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