How many solutions does this linear system have?

y=-6x+2

-12x - 2y = - 4

A) one solution: (0,0)

B) one solution: (1,-4)

C) no solution

D) infinite number of solutions

B - one solution: (1,-4)

Step-by-step explanation:

(1,-4)

y = - 6x + 2

-4 = - 6 (1) + 2

-4 = -4

(1,-4)

-12x - 2y = - 4

-12 (1) - 2 (-4) = - 4

-12 + 8 = -4

-4 = - 4

if you put the value x and y into both equation you can find the solution

Hi there!

The correct answer is: D. Infinite number of solutions

Step-by-step explanation:

in this case you can use the substitution method to solve these linear equations

since y = - 6x + 2 you can plug this into the equation - 12x - 2y = - 4

-12x - 2 (-6x + 2) = - 4 this comes out to be - 12x + 12x - 4 = - 4

then you simplify down to 0x=0