## anonymous one year ago Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = -2 A) x = 0 B) x = 2 C) There is no x value as there is no solution. D) x can be any value as there is an infinite number of solutions.

1. anonymous

@team_cuban

2. anonymous

I am sorry I forgot how to do system of equations by substitution unfortunately.

3. anonymous

do you know anyone who is good at these and could help me out?

4. anonymous

@pooja195 @welshfella

5. anonymous

These people may be able to help.

6. pooja195

Whats the opposite of 2?

7. pooja195

any ideas?

8. anonymous

-2

9. pooja195

good so we multiply -2(2x + y = 1) 4x + 2y = -2 $\huge~\rm~-2(2x + y = 1)$

10. pooja195

Distribute

11. anonymous

I have no idea

12. pooja195

-2 x 2 = ?

13. anonymous

-4

14. pooja195

-2 x y = ?

15. anonymous

I don't know

16. pooja195

-2(2x + y = 1) 4x + 2y = -2 $\huge~\rm~-2(2x + y = 1)$ $$\huge\color{red}{-4x-2y=-2}$$

17. pooja195

−4x−2y=−2 4x+2y=−2 Heres the fun part :D -4+4=? -2+2=? -2+-2=?

18. anonymous

can you do that for me... im still a little lost..

19. pooja195

-4+4=?

20. anonymous

0

21. pooja195

-2+2=?

22. anonymous

0

23. pooja195

-2+-2?

24. anonymous

-4

25. pooja195

When we have a number = a DIFFERENT number we have no solution its not possible to solve 0=-4 would make it so that there is no solution

26. anonymous

so C?

27. pooja195

ye

28. anonymous

See @pooja195 is amazing in Algebra. And I am great in geometry. GOOD WORK @pooja195

29. pooja195

:) thanks :)

30. anonymous

No Problem