Question

Solve the following system by graphing. 

x + y - 6 = 0
x - y = 0

What is the solution of the system?

(-3, 3)

(3, -3)

(3, 3)

Answer 1

C.(3,3)

Step-by-step 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)

Explanation:

Answer 2

answer is 3,3
since x does not contain a variable move it to the right by subtracting x from both sides and multiple secou d equation by -1
y=-x+6
y=x