Question

What is the solution of the system?
y = 3x - 6
x + 2y = 2


A.
(-3, 0)
B.
(2, 0)
C.
(0, 2)
D.
(0, -3)

Answer 1

Problem:
Solve y=3x−6;x+2y=2
Steps:
I will try to solve your system of equations.
y=3x−6;x+2y=2
Step: Solvey=3x−6for y:
Step: Substitute3x−6foryinx+2y=2:
x+2y=2
x+2(3x−6)=2
7x−12=2(Simplify both sides of the equation)
7x−12+12=2+12(Add 12 to both sides)
7x=14
7x
7
=
14
7
(Divide both sides by 7)
x=2
Step: Substitute2forxiny=3x−6:
y=3x−6
y=(3)(2)−6
y=0(Simplify both sides of the equation)
Answer:
x=2 and y=0

Answer 2

so it's b