Homework Help

Using the substitution method, solve each system of equations: y=6x-5  y=-x+9 In...

user profile pic

bookworm309 | Student, Grade 9 | eNoter

Posted February 5, 2013 at 1:09 AM via web

dislike 1 like

Using the substitution method, solve each system of equations:

y=6x-5 

y=-x+9

In coordinate form

Ex.- ( , )

1 Answer | Add Yours

user profile pic

jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 5, 2013 at 1:47 AM (Answer #1)

dislike 1 like

`y=6x-5`

`y=-x+9`

Eliminate the equal sides of each equation and combine.

`6x-5=-x+9`

`y=-x+9`

Add `x` to both sides of the first equation in order to get the variable on one side. Continue to pull down the second equation.

`7x-5=9`

`y=-x+9`

Now add `5` to both sides of the first equation.

`7x=14`

`y=-x+9`

Divide each term of the first equation by `7` .

`(7x)/7 = 14/7`

`x=2`

Now we can replace `x=2`  into `y=-x+9`

`y= -2+9`

`y= 7`

By using the substitution method, in coordinate form the solution to the system of equations is (2,7).

 

 

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes