Solve the following system of equations by the substitution method. x - y = 0 x - y - 2 = 0 what is the solution set? {(1, -1)} {(-1, 1)} ø

The answer is ∅ ⇒ no solution

Step-by-step explanation:

* Lets revise how to solve the system of equation by using

 substitution method

- At first find a variable in terms of the other one from the

 first equation

- Then substitute this value in the second equation

- So you can solve the equation because it has one variable

- After that put the value of the variable in the substitution

 equation to find the second variable

* Now lets solve our problem

∵ x - y = 0 ⇒ (1)

∵ x - y - 2 = 0 ⇒ (2)

- Find x in terms of y from 1st equation

∴ x = y

- Substitute this value in the second equation

∴ y - y - 2 = 0

∴ 0 - 2 = 0 ⇒ -2 = 0

* But -2 ≠ 0, that means L.H.S ≠ R.H.S

∴ There is no solution for this system of equations

∴ The answer is ∅

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

ian gonna lie that is way to much