Question

find the solution to the system of equations by using either graphing or substitution.
y = 6 - x and y = x -2

a. (2,4)
b. (-4,2)
c. (4,2)
d. no solutions

Answer 1

so put 1 of the equations as y

Answer 2

or like this 6-z=z-2

Answer 3

then solve / simplify

Answer 4

ok so it would be the first one?

Answer 5

maybe

Answer 6

\(\large\color{black}{ \displaystyle y = 6 - x }\)
\(\large\color{black}{ \displaystyle y = x -2 }\)

the first equation tells you that y is the same thing as 6-x, so you can replace the y in the second equation by 6-x.

your first equation
\(\large\color{red}{ \displaystyle y = 6 - x }\)

your second equation
\(\large\color{black}{ \displaystyle y = x -2 }\)

replace the y with 6-x in the second equation
\(\large\color{black}{ \displaystyle 6-x = x -2 }\)

(this is a substitution)

Answer 7

yep yep

Answer 8

thanks @SolomonZelman

Answer 9

<3

Answer 10

do you get the substitution method in this case, @120hoho, or not ?

Answer 11

he said he thinks its the 1st one

Answer 12

i doubt that the first answer is correct..... lets solve the problem and lets know for sure, okay?

Answer 13

@SolomonZelman u got this right cuz i gtg

Answer 14

Hoho, did you understand the substitution method that I explained?

Answer 15

yeah

Answer 16

ok, so at this point we have: \(\large\color{black}{ \displaystyle 6-x = x -2 }\)

Answer 17

you need to {solve for/ isolate the} x.

Answer 18

lets add x to both sides.

your equation right now:
\(\large\color{black}{ \displaystyle 6-x = x -2 }\)

adding x to both sides (as shown in blue)
\(\large\color{black}{ \displaystyle 6-x \color{blue}{+x} = x -2\color{blue}{+x} }\)

Answer 19

then tell me what is going to happen (what you get) on each side

Answer 20

double x's

Answer 21

more precisely please. What do you get on the right side? What do you get on the left side?