Question

1.22x+x-10=59 2.14y-2y+76=100 3.(7a-2a)*8=80 4.(15b+b):4=3 5.(0.87m-0.66m)*10:2:3=0 6.10*(1.37k-0.12k):5:8=0 Решите пожалуйста.

Answer 1

1)=23х-10=59
23х=59=10
23х=69
х=3
2)=12у+76=100
12у=100-76
12у=24
у=2
3)=5а*8=80
40а=80
а=2
4)=16б:4=3
4б=3
б=3/4

Answer 2

To solve the given equations, let's go through each one step by step: 1. **1.22x + x - 10 = 59** To solve this equation, we need to combine like terms and isolate the variable x. Here's the step-by-step solution: - Combine the x terms: 1.22x + x = 2.22x - Rewrite the equation: 2.22x - 10 = 59 - Add 10 to both sides: 2.22x = 69 - Divide both sides by 2.22: x = 69 / 2.22 - Simplify the right side: x ≈ 31.08 Therefore, the solution to the equation is **x ≈ 31.08**. 2. **14y - 2y + 76 = 100** To solve this equation, we need to combine like terms and isolate the variable y. Here's the step-by-step solution: - Combine the y terms: 14y - 2y = 12y - Rewrite the equation: 12y + 76 = 100 - Subtract 76 from both sides: 12y = 24 - Divide both sides by 12: y = 24 / 12 - Simplify the right side: y = 2 Therefore, the solution to the equation is **y = 2**. 3. **(7a - 2a) * 8 = 80** To solve this equation, we need to combine like terms and isolate the variable a. Here's the step-by-step solution: - Combine the a terms: 7a - 2a = 5a - Rewrite the equation: 5a * 8 = 80 - Multiply both sides by 8: 40a = 80 - Divide both sides by 40: a = 80 / 40 - Simplify the right side: a = 2 Therefore, the solution to the equation is **a = 2**. 4. **(15b + b) / 4 = 3** To solve this equation, we need to combine like terms and isolate the variable b. Here's the step-by-step solution: - Combine the b terms: 15b + b = 16b - Rewrite the equation: 16b / 4 = 3 - Divide both sides by 4: 4b = 3 - Divide both sides by 4: b = 3 / 4 - Simplify the right side: b = 0.75 Therefore, the solution to the equation is **b = 0.75**. 5. **(0.87m - 0.66m) * 10 / 2 / 3 = 0** To solve this equation, we need to combine like terms and isolate the variable m. Here's the step-by-step solution: - Combine the m terms: 0.87m - 0.66m = 0.21m - Rewrite the equation: 0.21m * 10 / 2 / 3 = 0 - Multiply by 10: 2.1m / 2 / 3 = 0 - Divide by 2: 1.05m / 3 = 0 - Multiply by 3: 1.05m = 0 - Divide by 1.05: m = 0 / 1.05 - Simplify the right side: m = 0 Therefore, the solution to the equation is **m = 0**. 6. **10 * (1.37k - 0.12k) / 5 / 8 = 0** To solve this equation, we need to combine like terms and isolate the variable k. Here's the step-by-step solution: - Combine the k terms: 1.37k - 0.12k = 1.25k - Rewrite the equation: 10 * 1.25k / 5 / 8 = 0 - Multiply by 10: 12.5k / 5 / 8 = 0 - Divide by 5: 2.5k / 8 = 0 - Divide by 8: 0.3125k = 0 - Divide by 0.3125: k = 0 / 0.3125 - Simplify the right side: k = 0 Therefore, the solution to the equation is **k = 0**. In summary, the solutions to the given equations are: - Equation 1: x ≈ 31.08 - Equation 2: y = 2 - Equation 3: a = 2 - Equation 4: b = 0.75 - Equation 5: m = 0 - Equation 6: k = 0