Question

What is the solution of the system?
12x - 3y = 18
8x = 2y + 12


A.
No solution
B.
Infinitely many solutions
C.
(4, 3)
D.
(3, 4)

Answer 1

Problem:
Solve 12x−3y=18;8x=2y+12
Steps:
I will try to solve your system of equations.
12x−3y=18;8x=2y+12
Step: Solve12x−3y=18for x:
12x−3y+3y=18+3y(Add 3y to both sides)
12x=3y+18
12x
12
=
3y+18
12
(Divide both sides by 12)
x=
1
4
y+
3
2
Step: Substitute
1
4
y+
3
2
forxin8x=2y+12:
8x=2y+12
8(
1
4
y+
3
2
)=2y+12
2y+12=2y+12(Simplify both sides of the equation)
2y+12+−2y=2y+12+−2y(Add -2y to both sides)
12=12
12+−12=12+−12(Add -12 to both sides)
0=0
Answer:
Infinitely many solutions.

Answer 2

so its b