Question

1)/х/+4=7 2)2/х+6/=30 3)/х/-8=3 4)/4х-7/+6=11

Answer 1

Ответ:

Пошаговое объяснение:

1)/x/+4=7 /x/=3 x=+3 x=-3

2)2/x+6/=30 /x+6/=15 /x/=6+15=21 x=21 x=-21

3)/x/-8=3 /x/=5 x=5 x=-5

4)/4x-7/+6=11 4x-7+6=11 4x=7-6+11=12 x=3

-4x+7+6=11 -4x+7+6=11 -4x=-13+11 -4x=-2 x=1/2

Answer 2

To solve these equations, we'll need to isolate the variable "x" by performing the necessary operations step-by-step. Let's solve each equation one by one:

1. |x| + 4 = 7

To isolate |x|, we need to get rid of the constant term first. Subtract 4 from both sides:

|x| = 7 - 4 |x| = 3

Now, we have an absolute value equation. Remember that |x| can be either positive or negative, so we'll have two cases:

Case 1: x = 3 Case 2: x = -3

2. 2/х + 6 = 30

To solve for x, we'll isolate the term with x. First, subtract 6 from both sides:

2/х = 30 - 6 2/х = 24

Now, we want to get rid of the fraction. To do this, we can take the reciprocal (flip) of both sides:

х/2 = 1/24

Finally, multiply both sides by 2 to isolate x:

x = 2 * (1/24) x = 1/12

So the solution is x = 1/12.

3. |x| - 8 = 3

To isolate |x|, add 8 to both sides:

|x| = 3 + 8 |x| = 11

Again, we have two cases:

Case 1: x = 11 Case 2: x = -11

4. |4x - 7| + 6 = 11

First, isolate the absolute value term by subtracting 6 from both sides:

|4x - 7| = 11 - 6 |4x - 7| = 5

Now, we have two cases to consider:

Case 1: 4x - 7 = 5 Add 7 to both sides: 4x = 5 + 7 4x = 12 Divide by 4: x = 12/4 x = 3

Case 2: -(4x - 7) = 5 Distribute the negative sign: -4x + 7 = 5 Subtract 7 from both sides: -4x = 5 - 7 -4x = -2 Divide by -4: x = -2 / -4 x = 1/2

So, for equation 4, we have two solutions: x = 3 and x = 1/2.