Question

Solve the following system of equations. Please show your work to receive full credit.
x - y = 13
2x + y = 2

Part 2:
Explain which method you chose to solve the system and why you felt it was the best choice.

Answer 1

add 2 equations left hand side and right hand side seperately the y terms will get cancelled

Answer 2

Add both equations(elimination).

Answer 3

add the equations together, the y-s will cancel

Answer 4

Is that enough for you to manage it? @rebecca1233

Answer 5

you can solve it in your head this way

Answer 6

And by adding both equations, we mean adding the LHS's and RHS's.

Answer 7

can you help me work it out please

Answer 8

(x - y)+ (2x + y) = (13) + (2)

x - y+ 2x + y = 13 + 2

(x + 2x) +( y - y) = (13 + 2)

Answer 9

alright & which method is this cause i was gnna do substitution

Answer 10

x=5

Answer 11

if you wanted to use substitution i would target the y in the second equation

Answer 12

ok what method did u use

Answer 13

Parth says its called (elimination)

Answer 14

ok.. and i got y = -8

Answer 15

which method did you use,
correct by the way

Answer 16

yes well done x=5 y=-8

Answer 17

Thanks.. can you guys help with another question i post

Answer 18

x - y = 13
2x + y = 2


[1 -1 | x| 13 ]
[2 1 | y | 2 ]

[1 -1 | x| 13 ]
[0 3 | y | -24 ] R_2 - 2R_1

[1 -1 | x | 13 ]
[0 1 | y | -8 ] R_2 / 3

[1 0 | x | 5 ] R_1+R_2
[0 1 | y | -8 ]

x=5
y=-8