Question

4*а=200-164. 900-х=280+40

Answer 1

To solve the equation 4a = 200 - 164, we need to isolate the variable "a" on one side of the equation. Here's the step-by-step solution:

1. Subtract 164 from both sides of the equation: 4a - 164 = 200 - 164

Simplifying the right side of the equation: 4a - 164 = 36

2. To isolate the variable "a," we need to get rid of the coefficient 4. We can do this by dividing both sides of the equation by 4: (4a - 164) / 4 = 36 / 4

Simplifying: a - 41 = 9

3. Finally, to solve for "a," we can add 41 to both sides of the equation: a - 41 + 41 = 9 + 41

Simplifying: a = 50

Therefore, the value of "a" that satisfies the equation 4a = 200 - 164 is a = 50.

Now, let's solve the equation 900 - x = 280 + 40:

1. Add 280 and 40 on the right side of the equation: 900 - x = 280 + 40

Simplifying the right side of the equation: 900 - x = 320

2. To isolate the variable "x," we need to get rid of the coefficient -1. We can do this by multiplying both sides of the equation by -1: (-1)(900 - x) = (-1)(320)

Simplifying: -900 + x = -320

3. To solve for "x," we can add 900 to both sides of the equation: -900 + x + 900 = -320 + 900

Simplifying: x = 580

Therefore, the value of "x" that satisfies the equation 900 - x = 280 + 40 is x = 580.

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