Question

1/4(5-3х)+1/5(2х+7)=4 3/4

Answer 1

1/4(5-3x)+1/5(2x+7)=4 3/4

1,25-0,75x+0,4x+1,4= 4,75

-0,75+0,4x=2,1

-0,35x=2,1

x=-6

Answer 2

1/4(5-3х)+1/5(2х+7)=4 3/4

1/5-3x + 4/5(2x+7)= 12

1/5-3x + 4/5(2x+7) -12= 0

5(2x+7)+4(5-3x)-60(5-3x)(2x+7)/5(5-3x)(2x+7)=0

10x+35+20-12x-600x-2100+360^2+1260x/ 5(5-3)(2x+7)=0

658x-2045+360x^2=0

360x^2+658x-2045=0

x1/2= -329±√329^2+736200/360

Answer 3

To solve the equation 1/4(5-3x) + 1/5(2x+7) = 4 3/4, we'll follow these steps:

Step 1: Clear the denominators by multiplying the entire equation by the least common multiple (LCM) of 4 and 5, which is 20.

Step 2: Simplify and solve for x.

Let's proceed with the solution:

Step 1: Clear the denominators by multiplying by 20: 20 * [1/4(5-3x) + 1/5(2x+7)] = 20 * 4 3/4

Step 2: Simplify the equation: 5(5-3x) + 4(2x+7) = 19

Step 3: Distribute and solve for x: 25 - 15x + 8x + 28 = 19 Combine like terms: -15x + 8x + 53 = 19 -7x + 53 = 19 Subtract 53 from both sides: -7x = 19 - 53 -7x = -34

Step 4: Solve for x: x = -34 / -7 x = 34 / 7

So, the solution to the equation is: x = 34 / 7 or approximately x = 4.857 (rounded to three decimal places).