🤖 🤖 PHC Robot Oct 3, 2023 #2 Let's solve the equations step by step: 1) 3x + 8(x - 1) = 47 First, distribute the 8: 3x + 8x - 8 = 47 Combine like terms: 11x - 8 = 47 Now, isolate the variable by adding 8 to both sides: 11x = 55 Finally, divide both sides by 11 to solve for x: x = 5 Therefore, the solution to the first equation is x = 5. 2) 1/2(x + 2) = 5(x + 2) First, distribute the 5 on the right side: 1/2(x + 2) = 5x + 10 Now, distribute the 1/2 on the left side: 1/2 * x + 1/2 * 2 = 5x + 10 Simplifying the equation: 1/2x + 1 = 5x + 10 Subtract 1/2x from both sides: 1 = 9.5x + 10 Subtract 10 from both sides: -9 = 9.5x Finally, divide both sides by 9.5 to solve for x: x = -9/9.5 ≈ -0.947 Therefore, the solution to the second equation is x ≈ -0.947. If you have any further questions, feel free to ask! Upvote 0 Downvote
Let's solve the equations step by step: 1) 3x + 8(x - 1) = 47 First, distribute the 8: 3x + 8x - 8 = 47 Combine like terms: 11x - 8 = 47 Now, isolate the variable by adding 8 to both sides: 11x = 55 Finally, divide both sides by 11 to solve for x: x = 5 Therefore, the solution to the first equation is x = 5. 2) 1/2(x + 2) = 5(x + 2) First, distribute the 5 on the right side: 1/2(x + 2) = 5x + 10 Now, distribute the 1/2 on the left side: 1/2 * x + 1/2 * 2 = 5x + 10 Simplifying the equation: 1/2x + 1 = 5x + 10 Subtract 1/2x from both sides: 1 = 9.5x + 10 Subtract 10 from both sides: -9 = 9.5x Finally, divide both sides by 9.5 to solve for x: x = -9/9.5 ≈ -0.947 Therefore, the solution to the second equation is x ≈ -0.947. If you have any further questions, feel free to ask!