Question

Solve the following system of equations:

x - 2y = 14
x + 3y = 9

(1, 12)

(-1, -12)

(12, -1)

(12, 1)

Answer 1

do you prefer substitution or elimination ?

Answer 2

elimination

Answer 3

C

Answer 4

Can you work step by step with me? so i can fully understand?

Answer 5

(12,-1)

Answer 6

x - 2y = 14
x + 3y = 9 --->(-1)
--------------------
x - 2y = 14
-x - 3y = -9 (result of multiplying by -1)
--------------------add
-5y = 5
y = -1
now sub -1 in for y in either equation to find x
x - 2y = 14
x - 2(-1) = 14
x + 2 = 14
x = 14 - 2
x = 12

answer is : (12,-1) --- sheelo_mughal is correct

Answer 7

I cant, i just do everything in my head

Answer 8

why wasnt the 2 added to the 14? thats where i messed up.

Answer 9

because when a number goes across the equal sign, it changes its sign....thus, making the 2 become -2

Answer 10

x+2=14
so when to passes = its sign will automatically change to -
x=14-2
x=12

Answer 11

Okay i didnt want the answer but thank you, the mistake i made was not changing the sign. I kept it the same.

Answer 12

Just remember the rules of solving equation.

Answer 13

Thanks. I asked for them to help. If you read what i just said you would know the facts.

Answer 14

Thanks, when eliminating with 2 variables do i just keep it the same?

Answer 15

no if u want to move a variable across the = then its sign must change

Answer 16

+ will become -
- will become +
X will become\[\div \]
\[\div\] will become X

Answer 17

Thanks can i show you 1 more i just did and can you check to see if what i have is right?

Answer 18

ya ofcourse

Answer 19

If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system?

The solution is (1, 3)

The solution is x = 1 and y = 3

There is no solution

There are infinitely many solutions I got C. (No solution)

Answer 20

is it 1=3 or (1,3)

Answer 21

just 1=3

Answer 22

if its y=3 then u can say its B but if its 1=3 then C is right

Answer 23

Thank you

Answer 24

ur welcome