MHB Graphically solving 2X2 linear system and finding the line through 2 points

Click For Summary
The discussion focuses on solving a system of linear equations graphically and finding the equation of a line through two points. The user solved the equations y = -4x + 2 and x - 2y = 10, arriving at the solution x = 1.55 and y = -4.22, which was confirmed as correct. Additionally, the user found the equation of the line passing through the points (4, -2) and (0, 6) as y = -2x + 6, which was also validated as correct. The thread highlights the importance of peer verification in solving mathematical problems.
drop
Messages
14
Reaction score
0
Basically I don't know anyone in real life that can help me with this, so I need help checking to see if my answers are correct :)

PART A
1) Using a graphing utility solve the following system of linear equations. Round your answer to the nearest hundredth.

y = -4x+2
x - 2y = 10

My answer: x = 1.55 y = -4.22

2) Find the equation of the line that passes through the points (4,-2) and (0,6)

My answer: y = -2x + 6
 
Mathematics news on Phys.org
Re: Please check my answers - 1

drop said:
My answer: x = 1.55 y = -4.22
Right.

My answer: y = -2x + 6
Right.
 
Re: Please check my answers - 1

Thank you!
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

MHB Fixed point,, Jacobi- & Newton Method, Linear Systems
  • · Replies 7 ·
Replies
7
Views
2K
MHB [ASK] A Line Intercepting A Circle
  • · Replies 4 ·
Replies
4
Views
1K
MHB Finding lines through given point perpendicular and parallel to given line
  • · Replies 1 ·
Replies
1
Views
1K
MHB Angular and Linear Speed....Part 2
  • · Replies 6 ·
Replies
6
Views
4K
MHB Finding the Equation of a Line through a Point and Circle Center?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Finding the Equation of a Line Given a Point and Slope
  • · Replies 2 ·
Replies
2
Views
1K
MHB What Is the Equation of a Line Parallel to 4x + 5y = 20 Passing Through (0,0)?
  • · Replies 28 ·
Replies
28
Views
4K
MHB Finding the Equation of a Line with Point-Slope Formula
  • · Replies 2 ·
Replies
2
Views
1K
MHB Systems of Non-Linear equations
  • · Replies 7 ·
Replies
7
Views
2K
MHB How Do You Find the X-Coordinates of Points A and B on the Line y = (x/2) + 1?
  • · Replies 6 ·
Replies
6
Views
2K