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nalin [4]
2 years ago
13

If 3x + 2y = 8 and x is twice the value of y, what is the value of x -y?

Mathematics
2 answers:
tatyana61 [14]2 years ago
6 0

Answer: x-y = 1

Step-by-step explanation:

Given:

3x + 2y = 8

since x is twice the value of y , this means that :

x = 2y  .......................... **

we will the substitute it into the main equation , that is we will substitute 2y in place of x. so the equation becomes :

3(2y) + 2y = 8

6y + 2y = 8

8y = 8

divide through by 8

y = 1

substitute y = 1 into equation ** , that is

x = 2(1)

x = 2

this means that :

x = 2 and y = 1 , so

x - y = 2 -1

x-y = 1

Galina-37 [17]2 years ago
3 0

Answer:

1

Step-by-step explanation:

3x+2y=8          

x=2y

3(2y)+2y=8

6y+2y=8

8y=8

y=1

x=2(1)

x=2

x-1=2-1

x-y=1

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The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

7 0
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