Iwill give you the brainlessest if you awnser the following plz and you so much

2. the sum of two numbers is 82. their difference is 24. write a system of equations that describes this situation. solve by elimination to find the two numbers.

3. solve the system of equations using substitution.
y = 4x + 6
y = 2x

4.solve the system using elimination.
5x + 8y = –29
7x – 2y = –67

5. what is the solution of the system of equations?
y = –4x + 6
y = –5x – 4

6.suppose you are determining the growth rate of two species of plants. species a is 12 cm tall and grows 2 cm per month. species b is 10 cm tall and grows 3 cm per month. which system of equations models the height of each species h(m) as a function of months m.

7. write the following inequality in slope-intercept form.-8x+4y> -52
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8.solve the system using elimination.
3x – y = 28
3x + y = 14

10.write the following inequality in slope-intercept form.5x-5y> 70
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11.a motorboat can go 8 miles downstream on a river in 20 minutes. it takes 30 minutes for the boat to go upstream the same 8 miles. find the speed of the current.

12.what is the solution of the system of equations?
y = 4x + 4
y = –3x – 3

13.write the following inequality in slope-intercept form.-12x-2y> -42
_

14.find a solution to the following system of equations.
-5x+2y=9
3x+5y=7

15.what is the solution of the system of equations?
3x + 6y = –2
15x + 30y = –10

2. x + y = 82
    x - y = 24
  add
    2x = 106
      x = 53
 
   x + y = 82
   53 + y = 82
   y = 82 - 53
   y = 29

   solution is : (53,29)

3. y = 2x
    y = 4x + 6
    
    2x = 4x + 6
    2x - 4x = 6
    -2x = 6
     x = -3

    y = 2x
    y = 2(-3)
    y = -6

    solution is (-3,-6)

4. 5x + 8y = -29
    7x - 2y = -67...multiply by 4
   
    5x + 8y = -29
   28x - 8y = - 268 ..result of multiplying by 4
  add
   33x = - 297
      x = - 9

   5x + 8y = -29
   5(-9) + 8y = -29
    -45 + 8y = -29
   8y = -29 + 45
   8y = 16
   y = 2

   solution is : (-9,2)

5. y = -4x + 6
    y = -5x - 4

    -4x + 6 = -5x - 4
    -4x + 5x = -4 - 6
     x = -10

    y = -4x + 6
    y = -4(-10) + 6
    y = 40 + 6
    y = 46

   solution is (-10,46)

6. H(m) = 2m + 12
    H(m) = 3m + 10

7. -8x + 4y > -52
    4y > 8x - 52
     y > 2x - 13 <==

8. 3x - y = 28
    3x + y = 14
   add
    6x = 42
     x = 7

   3x - y = 28
   3(7) - y = 28
   21 - y = 28
   -y = 28 - 21
   -y = 7
    y = -7

solution is (7,-7)

10. 5x - 5y > 70
      -5y > -5x + 70
       y < x - 14 <==

11. sorry...dont know

12. y = 4x + 4
      y = -3x - 3

     4x + 4 = -3x - 3
     4x + 3x = -3 - 4
     7x = -7
     x = -1

     y = 4x + 4
     y = 4(-1) + 4
     y = 0

solution is (-1,0)

13. -12x - 2y > - 42
       -2y > 12x - 42
        y < -6x + 21 <==

14. -5x + 2y = 9
       3x + 5y = 7

solution is (-1,2)

15. 3x + 6y = -2
     15x + 30y = -10divide by 5 to reduce = 3x + 6y = -2
     is the same lineinfinite solutions

1. (the graph)y < = 3x - 43rd one

9. (2nd graph)y < = -3x + 4last one