Question

I will fan and medal!
Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9

Answer 1

Using the Elimination Method:

x can be eliminated by adding the two equations

3y + y - 2x + 2x = 11 + 9
4y + 0x = 20
4y = 20
y = 20/4 = 5

Using y + 2x = 9 ; replace ( ie substitute) y = 5
5 + 2x = 9
2x = 9 - 5 = 4
x = 4/2 = 2



Using the Substitution Method

y = 9 - 2x

Replace (Substitute) y in the equation 3y - 2x = 11 with 9 - 2x

3(9 - 2x) - 2x = 11
27 - 6x - 2x = 11
27 - 8x = 11
- 8x = 11 - 27
- 8x = -16
x = -16/-8
x = 2

Replace x with 2 in the equation y = 9 - 2x to find for y
y = 9 - 2(2)
y = 9 - 4
y = 5

Answer 2

Thanks so much!

Answer 3

No Problem :)

Answer 4

u can also substitute lolz :)