Question

Please show work for both problems

Answer 1

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98