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

AI Thread 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 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Back
Top