Question

1)8x+11 2/11=152)4x-19 3/5=23​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equations, we'll isolate the variable "x" on one side of the equation. Let's solve each equation step-by-step:

1. 8x + 11 2/11 = 152

Step 1: Subtract 11 2/11 from both sides to move the constant to the right side of the equation: 8x = 152 - 11 2/11

Step 2: Convert 152 to an improper fraction: 152 = 11 * 13 + 9 152 = 11 9/11

Step 3: Substitute the improper fraction back into the equation: 8x = 11 9/11 - 11 2/11

Step 4: Combine the fractions on the right side: 8x = 11 (9/11 - 2/11) 8x = 11 * 7/11

Step 5: Cancel out 11 from the numerator and denominator: 8x = 7

Step 6: Divide both sides by 8 to solve for x: x = 7 / 8 x = 0.875

So, the solution to the first equation is x = 0.875.

2. 4x - 19 3/5 = 23

Step 1: Add 19 3/5 to both sides to move the constant to the right side of the equation: 4x = 23 + 19 3/5

Step 2: Convert 23 to an improper fraction: 23 = 5 * 4 + 3 23 = 4 3/5

Step 3: Substitute the improper fraction back into the equation: 4x = 4 3/5 + 19 3/5

Step 4: Combine the fractions on the right side: 4x = 4 (3/5) + 19 (3/5) 4x = 4 * 3/5 + 19 * 3/5 4x = 12/5 + 57/5

Step 5: Add the fractions on the right side: 4x = 69/5

Step 6: Divide both sides by 4 to solve for x: x = (69/5) / 4 x = 69/5 * 1/4 x = 69/20

So, the solution to the second equation is x = 69/20.