Part A: Write the equation that represents M. y = 2 x &#x2212;<!-- − --> 5 Wr

Kamren Reilly

Kamren Reilly

Answered question

2022-06-03

Part A: Write the equation that represents M.
y = 2 x 5
Write the equation that represents N.
y = 3 x + 2
Part B: Using the equations you wrote in part A find the point where the lines M and N intersect. show your work
I used the substitution method and got ( 7 , 9 )
Part C: Write the equation of a line that passes through both the intersection point found in Part B and the origin. Explain your equation or show your work.

Answer & Explanation

szabadotttt3dg

szabadotttt3dg

Beginner2022-06-04Added 4 answers

Note: The system of linear equations y = 2 x 5 , y = 3 x + 2 does not have ( 7 , 9 ) as a solution since 3 7 + 2 = 23 which is not 9.
Part B) Substitution method will yield
2 x 5 = 3 x + 2.
One can solve this equality for x and find x = 7
Go back to either M or N to find y. They will be the same in both equations if your algebra is correct in the substitution method.
2 ( 7 ) 5 = 19.
Check this in equation N to ensure correctness.
3 ( 7 ) + 2 = 19.. So ( 7 , 19 ) is the point of intersection for the system.
Part C) Here we compute the line through the points ( 7 , 19 ) and ( 0 , 0 ). The slope is 19 7 , or 19 7 . Since the line goes through the origin, the y intercept is zero and the equation is
y = 19 7 x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?