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.
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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
 
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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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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