Question

Graph the system of equations on your graph paper to answer the question. {y=x−4y=−x+6 What is the solution for this system of equations? Enter your answer in the boxes.

Answer 1

I think (5,1) but Idk tho

Answer 2

(5,1)

Explanation:

Given :

`y=x-4\\y=-x+6`

Solution :

Equation 1 : y=x-4

Equation 2 : y = -x+6

We will use substitution method

Putting the value of y from equation 1 in equation 2

⇒
`x-4 = -x+6`

⇒
`x+x= 6+4`

⇒
`2x=10`

⇒
`x=(10)/(2)`

⇒
`x=5`

Now substituting value of x in equation 1 to get value of y

⇒
`y=x-4`

⇒
`y=5-4`

⇒
`y=1`

Thus the solution of given system of equations is (5,1)

We have also solved it by graphing the equations

You can refer the attached figure.