Question

1)40-12X=20-11X 2)6X+10=5X+15 3)8-5n=10-4n 4)10a+7=9a+5 5)30-15y=40-14y 6)6x+5=7x+3 7)3(x+2)=4x+1 8)4(x-2)+4x+1 9)0,6y-4+0,4y 10)-x+0,5=-0,5x 11)1,2=0,4y+0,8 12)3(x-5)+7=5x-3

Answer 1

1)40-12x=20-11x       2)6x+10=5x+15               3)8-5n=10-4n
  -12x+11x=20-40         6x-5x=15-10                   -5n+4n=10-8
 -x= -20                       x=5.                                -n=2
   x=20.                                                               n= -2.

4)10a+7=9a+5          5)30-15y=40-14y             6)6x+5=7x+3
   10a-9a=5-7             -15y+14y=40-30               6x-7x=3-5
   a= -2.                      -y=10                               -x= -2
                                   y= -10.                             x=2.

7)3(x+2)=4x+1          8)4(x-2)+4x+1                   9)0,6y-4+0,4y
   3x+6=4x+1              4x-8+4x+1                        0,6y+0,4y-4
   3x-4x=1-6                8x-7.                                y-4.
  -x= -5
   x= -5.

10)-x+0,5= -0,5x        11)1,2=0,4y+0,8              12)3(x-5)+7=5x-3
     -x+0,5x= -0,5           -0,4y=0,8-1,2                  3x-15+7=5x-3
     -0,5x= -0,5               -0,4y= -0,4                      3x-5x= -3+15-7
      x=1.                          y=1.                              -2x=5
                                                                             x= -2,5.
           
   

Answer 2

1. To solve for X: 40 - 12X = 20 - 11X Subtract 20 from both sides: 20 - 12X = -11X Add 11X to both sides: 20 - X = 0 Subtract 20 from both sides: -X = -20 Divide both sides by -1: X = 20

2. To solve for X: 6X + 10 = 5X + 15 Subtract 5X from both sides: X + 10 = 15 Subtract 10 from both sides: X = 5

3. To solve for n: 8 - 5n = 10 - 4n Subtract 8 from both sides: -5n = 2 - 4n Add 4n to both sides: -n = 2 Multiply both sides by -1: n = -2

4. To solve for a: 10a + 7 = 9a + 5 Subtract 9a from both sides: a + 7 = 5 Subtract 7 from both sides: a = -2

5. To solve for y: 30 - 15y = 40 - 14y Subtract 30 from both sides: -15y = 10 - 14y Add 14y to both sides: -y = 10 Multiply both sides by -1: y = -10

6. To solve for x: 6x + 5 = 7x + 3 Subtract 6x from both sides: 5 = x + 3 Subtract 3 from both sides: x = 2

7. To solve for x: 3(x + 2) = 4x + 1 Distribute the 3: 3x + 6 = 4x + 1 Subtract 3x from both sides: 6 = x + 1 Subtract 1 from both sides: x = 5

8. Simplify the expression: 4(x - 2) + 4x + 1 Distribute the 4: 4x - 8 + 4x + 1 Combine like terms: 8x - 7

9. Simplify the expression: 0.6y - 4 + 0.4y Combine like terms: y - 4

10. To solve for x: -x + 0.5 = -0.5x Add 0.5x to both sides: 0.5x - x + 0.5 = 0 Combine like terms: -0.5x + 0.5 = 0 Subtract 0.5 from both sides: -0.5x = -0.5 Divide both sides by -0.5: x = 1

11. To solve for y: 1.2 = 0.4y + 0.8 Subtract 0.8 from both sides: 0.4y = 0.4 Divide both sides by 0.4: y = 1

12. To solve for x: 3(x - 5) + 7 = 5x - 3 Distribute the 3: