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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

Respuesta :

Answer:

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

The number solutions does the linear equation have is infinite number of solutions.

The correct option is (D).

What is an equation?

An equation is a mathematical expression that contains an equals symbol.

Given:

y=-6x+2

-12x – 2y = -4

So, y+6x = 2

12x + 2y = 4

Now, a1= 6, b1= 1, c1= -2

a2 = 12, b2 = 2, c2= -4

a1/a2= 6/12=1/2, b1/b2 = 1/2, c1/c2 = -2/-4 = 1/2

As, a1/a2= b1/b2= c1/c2

So, the equation of infinite number of solutions.

Learn more about this concept here:

https://brainly.com/question/19352801

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