Question

Graph the following system of equations. Statethe solution.9) y = -xx - y = 6-3 -2 -2X

Answer 1

Step 1

isolate y in both equations

Equation 1

y=-x, no need to isolate y

so,

y=-x

Now,

x-y=6

add y in both sides

x-y+y=6+y

x=6+y

substract 6 in both sides

x-6=6+y-6

x-6=y

so

y=x-6

Step 2

make a table for each function

y=-x

for make the table take minimum 2 values for x and replace into the equation

let x1=1 and X2=2

so

when x=1

y=-x

y=-1, we have a coordinate!

(1,-1)

Now, with X=2

y=-x

y=