Question

Which equation can pair with y=3x-2 to create a consistent and independent system?

Answer 1

Answer:

x = 3y – 2

y = –3x – 2

3y – x = –2

Step-by-step explanation:

Answer 2

Answer: y=4

Step-by-step explanation:  First of all, we have to know what a consistent and independent system is.

Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent

Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.

Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.

This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.

So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.

Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.