Question

Solve the following system by graphing. x + y - 6 = 0 x - y = 0 What is the solution of the system?

A. (-3, 3)

B. (3, -3)

C. (3, 3)

Answer 1

C.) (3,3) is the solution of the system.

Answer 2

C.(3,3)

Explanation:

Hello

to solve this by graphing we need to remember that the solution to a system of equations is when there is an intersection.

Step 1

Graph both equations

Let

(1) x+y-6=0

(2)x-y=0

isolating y from each equation

(1) x+y-6=0

y=-x+6

to graph a line two points are need, lets find it with x=0 and x=6

y(0)=-0+6

y(0)=6

hence, point 1 = (0,6)

Now, with x=6

y(6)=-6+6

y(6)=0

hence, point 2 =(6,0)

now, draw a line that crosses P1 and P2

Now, draw (2)

(2)x-y=0

y=x

with x=0 and x= 1

Y(0)=0

so, Point 1 =(0,0)

with x=1

Y(1)=1

so, Point 1 =(1,1)

now, draw a line that crosses P1 and P2

Step 2

check the point where the intersection is, that is the answer (3,3)

Have a great day