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

The system of equations is a consistent system

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