Answer:
A(6,0)
Explanation:
x=y−6 ;y=−3x+6
Step: Solve x=y−6 for x:
x=y−6
Step: Substitute y− 6 for x in y=−3x+6:
y=−3x+6
y=−3(y−6)+6
y=−3y+24(Simplify both sides of the equation)
y+3y=−3y+24+3y(Add 3y to both sides)
4y=24
4y
4
=
24
4
(Divide both sides by 4)
y=6
Step: Substitute 6 for y in x=y−6:
x=y−6
x=6−6
x=0(Simplify both sides of the equation)
Answer:
x=0
and
y=6