Question

5-4х=х+20; 9-х=35-2х

Answer 1

5-4х=х+20
-4х-х=20-5
-5х=15
х=15:(-5)
х=-3
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9-х=35-2х
2х-х=35-9
х=26

Answer 2

To solve the equations, let's take them one at a time:

Equation 1: 5 - 4x = x + 20

To solve for x, we can start by simplifying the equation:

5 - 4x = x + 20

Let's move all the terms involving x to one side of the equation by adding 4x to both sides:

5 - 4x + 4x = x + 20 + 4x

5 = 5x + 20

Next, let's move the constant term (20) to the other side by subtracting 20 from both sides:

5 - 20 = 5x + 20 - 20

-15 = 5x

Now, we can isolate x by dividing both sides of the equation by 5:

-15 / 5 = 5x / 5

-3 = x

So the solution to Equation 1 is x = -3.

Now, let's move on to Equation 2: 9 - x = 35 - 2x

Again, we'll simplify the equation:

9 - x = 35 - 2x

Let's start by moving all terms involving x to one side of the equation. Adding x to both sides:

9 - x + x = 35 - 2x + x

9 = 35 - x

Next, let's move the constant term (35) to the other side by subtracting 35 from both sides:

9 - 35 = 35 - x - 35

-26 = -x

To isolate x, we can multiply both sides by -1 (or multiply by -1 and change the direction of the inequality):

-1 * -26 = -x * -1

26 = x

So the solution to Equation 2 is x = 26.

To summarize:

Equation 1: x = -3 Equation 2: x = 26