Question

Solve the following system of equations.
x + y = 14
-x + y = 16



A. (1, 15)
B. (1, -15)
C. (-1, 15)
D. (6, 6)

Answer 1

Add the two equations, that will cancel out the x's and leave y

Answer 2

I don't understand...

Answer 3

Solve for one of the variable in either equation. Then plug in the variables answer into the other equation and you will solve for a variable and find the other variable as well and you will come up with a point. Want me to evaluate?

Answer 4

Oh Cenaida :/

Answer 5

You're not allowed to do their work for them, Gerardo.

Answer 6

if you're still stuck, then I'll get you started


Add the equations to get

x + y = 14
-x + y = 16
------------
0x+2y = 30


so 2y = 30 which means y = ???

Answer 7

I don't know :/ 1?

Answer 8

2 times y = 30

so y must equal what number?

Answer 9

15~ :D

Answer 10

good

Answer 11

now that you know that y = 15, use this to find x

Answer 12

and how do I find x?

Answer 13

plug in y = 15 into any equation, then solve for x

so let's pick on the first equation


x + y = 14

x + 15 = 14 ... replace y with 15 (since y = 15)


now solve for x

Answer 14

i don't know how to solve for x......

Answer 15

x is some number

Answer 16

so saying

x+15 = 14

is the same as saying

"some number" + 15 = 14


what replaces "some number"?

Answer 17

to find out, undo that +15 and subtract 15 from both sides

Answer 18

-1?

Answer 19

good, x = -1

Answer 20

so we found that x = -1 and y = 15

which means that the ordered pair solution is (-1,15)

Answer 21

ok thanks jim!

Answer 22

yw