Question

2. Is the point (-3,-4) the solution to the system of equations: SHOW ALL YOUR WORK.

Answer 1

Answer: Yes, it is the solution to the system.

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Explanation:

The point (-3,-4) means that x = -3 and y = -4 pair up together.

Let's plug those values into the first equation and simplify

y = 2x+2

-4 = 2(-3)+2 .... replace x with -3; replace y with -4

-4 = -6+2

-4 = -4 ... we get a true equation

Let's repeat for the other equation as well

y = x-1

-4 = -3-1

-4 = -4 .... this is also true

Since both equations are true, this means (-3,-4) is the solution to the system. The two lines intersect at (-3,-4).

Answer 2

Answer:

y = 2x + 2

-4 = 2(-3) + 2

-4 = -6 + 2

-4 = -4

y = x - 1

-4 = -3 - 1

-4 = -4

It is the solution

Step-by-step explanation: