Question

36×(5a+19)=30a+1134 Помогите решить с проверкой!

Answer 1

To solve the equation 36 × (5a + 19) = 30a + 1134, we will follow these steps:

Step 1: Distribute the multiplication on the left side of the equation: 36 × 5a + 36 × 19 = 30a + 1134

Step 2: Simplify both sides of the equation: 180a + 684 = 30a + 1134

Step 3: Move all the terms with 'a' to one side of the equation: 180a - 30a = 1134 - 684 150a = 450

Step 4: Divide both sides of the equation by 150 to solve for 'a': a = 450 / 150 a = 3

To verify if the solution is correct, we substitute the value of 'a' back into the original equation and check if both sides are equal.

Left side of the equation: 36 × (5a + 19) = 36 × (5 × 3 + 19) = 36 × (15 + 19) = 36 × 34 = 1224

Right side of the equation: 30a + 1134 = 30 × 3 + 1134 = 90 + 1134 = 1224

Since both sides of the equation are equal to 1224, we can conclude that the solution 'a = 3' is correct.

I hope this helps! Let me know if you have any further questions.