To determine the number of solutions for the system of equations, we need to compare the two equations.

The first equation is y = 12x and the second equation is y = x + 2.

If we set these two equations equal to each other, we get:

12x = x + 2

Subtract x from both sides to isolate the variable:

12x - x = 2

This simplifies to:

11x = 2

Then, divide both sides by 11 to solve for x:

x = 2/11

Substitute x = 2/11 into the first equation to solve for y:

y = 12*(2/11)

This simplifies to:

y = 24/11

So, the solution to the system of equations is x = 2/11 and y = 24/11.

Since there is one unique solution, the system is consistent and independent.

Question

To determine the number of solutions for the system of equations, we need to compare the two equations.

The first equation is y = 12x and the second equation is y = x + 2.

If we set these two equations equal to each other, we get:

12x = x + 2

Subtract x from both sides to isolate the variable:

12x - x = 2

This simplifies to:

11x = 2

Then, divide both sides by 11 to solve for x:

x = 2/11

Substitute x = 2/11 into the first equation to solve for y:

y = 12*(2/11)

This simplifies to:

y = 24/11

So, the solution to the system of equations is x = 2/11 and y = 24/11.

Since there is one unique solution, the system is consistent and independent.

Knowee AI · Accepted Answer

To determine the number of solutions for the system of equations, we need to compare the two equations.

The first equation is y = 12x and the second equation is y = x + 2.

If we set these two equations equal to each other, we get:

12x = x + 2

Subtract x from both sides to isolate the variable:

12x - x = 2

This simplifies to:

11x = 2

Then, divide both sides by 11 to solve for x:

x = 2/11

Substitute x = 2/11 into the first equation to solve for y:

y = 12*(2/11)

This simplifies to:

y = 24/11

So, the solution to the system of equations is x = 2/11 and y = 24/11.

Since there is one unique solution, the system is consistent and independent.

Determine the number of solutions the system has. Then state whether the system of equations is consistent or inconsistent and if it is independent or dependent. y=12x𝑦=12𝑥 y=x+2