Question

3х+1/5-2х-1/3=7х+3/15. Х+3/6+х-7/3=х+11/2

Answer 1

3х+1/5-2х-1/3=7х+3/15
3х-2х-7х=1/5+1/3+3/15
-6х=5/15(1/3)
-х=1/9
х= -1/9

Answer 2

Let's solve the two equations step by step:

Equation 1: 3x + 1/5 - 2x - 1/3 = 7x + 3/15

First, we'll simplify the fractions on both sides of the equation:

1/5 - 1/3 = 3/15 - 1/3

Now, let's compute these fractions:

(3x - 2x) + (1/5 - 1/3) = 7x + (3/15 - 1/3)

Simplify further:

x + (3/15 - 5/15) = 7x + (1/15 - 5/15)

x - 2/15 = 7x - 4/15

Now, we want to isolate the x variable. Let's start by moving all the x terms to one side of the equation and the constants to the other side:

x - 7x = -4/15 + 2/15

Combine the x terms:

-6x = -2/15

Now, divide both sides by -6 to solve for x:

x = (-2/15) / (-6)

x = (2/15) / 6

x = 2/15 * 1/6

x = 1/45

Equation 2: x + 3/6 + x - 7/3 = x + 11/2

First, simplify the fractions:

1/2 + 1/3 = 11/2

Now, let's simplify further:

(2x + 1/2) - (7/3) = (x + 11/2)

Now, find a common denominator for 1/2 and 7/3, which is 6:

(2x + 3/6) - (14/6) = (x + 11/2)

Now, add 14/6 to both sides:

(2x + 3/6) = (x + 11/2) + (14/6)

Simplify further:

(2x + 3/6) = (x + 11/2) + (7/3)

Now, find a common denominator for 6, 2, and 3, which is 6:

(2x + 1/6) = (3x/6 + 33/6) + (14/6)

Now, combine like terms:

2x + 1/6 = (3x + 33 + 14)/6

2x + 1/6 = (3x + 47)/6

Now, to isolate x, we'll multiply both sides of the equation by 6:

6(2x + 1/6) = 6(3x + 47)/6

2x + 1 = 3x + 47

Now, move the 2x term to the other side:

1 - 47 = 3x - 2x

-46 = x

So, the solution to the second equation is:

x = -46

Therefore, the solutions to the two equations are:

For Equation 1: x = 1/45 For Equation 2: x = -46