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

Answer:

(5,1)

Step-by-step 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

⇒$x-4 = -x+6$

⇒$x+x= 6+4$

⇒$2x=10$

⇒$x=\frac{10}{2}$

⇒$x=5$

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.

Answer 2

I think (5,1) but Idk tho