Question

|15х-10|=5 |8х-6|=14 |8х+12|=20 |2х+14|=6 пж​

Answer 1

Ответ:

1) x=1 или 1/3 2)x= -1 или 2,5 3) x= -4 или 1 4) x= -4 или -10

Пошаговое объяснение:

1)15x-10=5; 15x=10+5=15; x=1
-15x+10=5;15x=10-5=5; x=5/15=1/3

2)8x-6=14; 8x=14+6=20; x=20/8=2,5
-8x+6=14; 8x= 6-14= -8; x= -1

3)8x+12=20; 8x=20-12=8; x=1
-8x-12=20; 8x= -12-20= -32; x= -32/8= -4

4)2x+14=6; 2x=6-14= -8; x= -8/2= -4
-2x-14=6; 2x= -6-14= -20; x= -20/2= -10

Answer 2

To solve each of these equations, we'll isolate the variable x by performing the necessary operations. Let's solve them one by one:

1. |15x - 10| = 5: We'll split this equation into two cases, considering the positive and negative values inside the absolute value separately.

   Case 1: 15x - 10 = 5 Add 10 to both sides: 15x = 15 Divide by 15: x = 1

   Case 2: -(15x - 10) = 5 Simplify the expression inside the absolute value: -15x + 10 = 5 Subtract 10 from both sides: -15x = -5 Divide by -15: x = 1/3

   So the solution for this equation is x = 1 or x = 1/3.

2. |8x - 6| = 14: Again, we'll consider both cases separately.

   Case 1: 8x - 6 = 14 Add 6 to both sides: 8x = 20 Divide by 8: x = 2.5

   Case 2: -(8x - 6) = 14 Simplify the expression inside the absolute value: -8x + 6 = 14 Subtract 6 from both sides: -8x = 8 Divide by -8: x = -1

   So the solution for this equation is x = 2.5 or x = -1.

3. |8x + 12| = 20: Once again, we'll handle both cases separately.

   Case 1: 8x + 12 = 20 Subtract 12 from both sides: 8x = 8 Divide by 8: x = 1

   Case 2: -(8x + 12) = 20 Simplify the expression inside the absolute value: -8x - 12 = 20 Add 12 to both sides: -8x = 32 Divide by -8: x = -4

   So the solution for this equation is x = 1 or x = -4.

4. |2x + 14| = 6: Let's handle both cases.

   Case 1: 2x + 14 = 6 Subtract 14 from both sides: 2x = -8 Divide by 2: x = -4

   Case 2: -(2x + 14) = 6 Simplify the expression inside the absolute value: -2x - 14 = 6 Add 14 to both sides: -2x = 20 Divide by -2: x = -10

   So the solution for this equation is x = -4 or x = -10.

In summary: For the first equation: x = 1 or x = 1/3. For the second equation: x = 2.5 or x = -1. For the third equation: x = 1 or x = -4. For the fourth equation: x = -4 or x = -10.