Using the substitution method, solve each system of equations:

y=6x-5

y=-x+9

In coordinate form

Ex.- ( , )

### 1 Answer | Add Yours

`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