Question

3 - х = 1 + х 7х + 2 = 3х - 10 5х - 8 = 3х - 8 1\2х -3 = 2 - 1\3х 5х - 2 1\4 = 1\2х 2\5х - 1 = 3\4х - 6 2х - 3\5 =3\4х - 1\2

Answer 1

1) x+x=3-1

2x=2

x=1

2) 7x-3x=-10-2

4x=-12

x=-3

3) 5x-3x=8-8

2x=0

x=0

4) 1/2x+1/3x=2+3

3/6x+2/6x=5

5/6x=5

x=6

5) 5x-1/2x=2 1/4

10/2x-1/2x=9/4

9/2x=9/4

x=1/2

6) 2/5x-3/4x=1-6

8/20x-15/20x=-5

7/20x=5

x=14 2/7

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

8/4x-3/4x=6/10-5/10

5/4x=1/10

x=2/25

Answer 2

It looks like you've written a series of linear equations. To solve each equation, we can isolate the variable "x" by performing the necessary operations. Let's solve each equation step by step:

1. 3 - x = 1 + x

   To isolate "x," you can move all the "x" terms to one side and the constant terms to the other side:

   3 - 1 = x + x 2 = 2x

   Now, divide both sides by 2 to solve for "x":

   2/2 = 2x/2 1 = x

   So, x = 1.

2. 7x + 2 = 3x - 10

   First, move the "3x" term to the left side by subtracting it from both sides:

   7x - 3x + 2 = -10

   Simplify:

   4x + 2 = -10

   Next, move the constant term "2" to the right side by subtracting it from both sides:

   4x = -10 - 2 4x = -12

   Now, divide both sides by 4 to solve for "x":

   (4x)/4 = (-12)/4 x = -3

   So, x = -3.

3. 5x - 8 = 3x - 8

   The equation is already simplified, and you can see that both sides are equal. This means that the equation is always true for any value of "x." In other words, it's an identity.

4. 1/2x - 3 = 2 - 1/3x

   First, let's get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 2 and 3, which is 6:

   6 * (1/2x - 3) = 6 * (2 - 1/3x)

   3x - 18 = 12 - 2x

   Now, move the terms with "x" to one side and the constants to the other side:

   3x + 2x = 12 + 18 5x = 30

   Finally, divide both sides by 5 to solve for "x":

   (5x)/5 = 30/5 x = 6

   So, x = 6.

5. 5x - 2 1/4 = 1/2x

   Let's get rid of the fractions by multiplying both sides by the least common multiple (LCM) of 4 and 2, which is 4:

   4 * (5x - 2 1/4) = 4 * (1/2x)

   20x - 8 = 2x

   Now, move the terms with "x" to one side and the constants to the other side:

   20x - 2x = 8 18x = 8

   Finally, divide both sides by 18 to solve for "x":

   (18x)/18 = 8/18 x = 4/9

   So, x = 4/9.

6. 2x - 3/5 = 3/4x - 1/2

   First, let's get rid of the fractions by multiplying both sides by the least common multiple (LCM) of 5 and 4, which is 20:

   20 * (2x - 3/5) = 20 * (3/4x - 1/2)

   40x - 12 = 15x - 10

   Now, move the terms with "x" to one side and the constants to the other side:

   40x - 15x = -10 + 12 25x = 2

   Finally, divide both sides by 25 to solve for "x":

   (25x)/25 = 2/25 x = 2/25

   So, x = 2/25.