Question

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x+12y=−2x+2 Select the correct answer from the drop-down menu.

Answer 1

Answer: A consistent system has at least one solution. ... y = 7/3 * x - 2/3 is the slope intercept form of the equation 7x - 3y = 2 m = 7/3 b = -2/3 a line parallel to the line created by this equation.

Answer 2

Answer:

The system of equations is a consistent system

Step-by-step explanation:

we have

$y=-x+12$ ----> equation A

$y=-2x+2$ ----> equation B

Multiply by $-1$ equation A

$-y=-(-x+12)$ -----> $-y=x-12$ -----> equation C

Adds equation B and equation C

$y=-2x+2\\-y=x-12\\--------\\0=-2x+x+2-12\\0=-x-10\\x=-10$

Find the value of y

$y=-(-10)+12=22$

the solution is the point $(-10,22)$

The system has one solution

therefore

The system of equations is a consistent system