Question

Pls help this is hard

Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?

(6, 20), because the point does not lie on any axis

(6, 20), because both lines pass through this point

(3, 11), because one of the lines passes through this point

(3, 11), because the point lies between the two axes

Answer 1

(6,20) because both lines pass through this point

Explanation:

To solve this you can use the substitution method.

Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.

Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.

Once you do this you should now have 14 = 2x+2

In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x

You then simplify x by dividing both sides by 2. This will get you x = 6

Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.

6 + 14 is 20, therefore you're y-value is y = 20