OK......let's multiply the second equation by -1 all the way through...so we have....
-[ y = -(1/4)x -3 ] → -y = (1/4)x +3
Now add this equation to the first one......so we have
y = (1/2)x +3
-y = (1/4)x +3
-------------------
0 = (3/4)x + 6
Subtract 6 from both sides
-6 = (3/4)x multiply both sides by 4/3
-24/3 = x = -8
Now......just replace this value in one of the equations to get "y"...I''ll use the ffirst one...
y = -(1/2)(-8) + 3
y = -4 + 3
y = -1
And there's the solution !!!
Hope that helps trQ !!!!
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Thanks again, ND....my eyes aren't what they once were!!!! (LOL!!!)
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See the solution here:
https://www.desmos.com/calculator/ax3p5l5z7s
Just click on the intersection point of the ttwo graphs...the solution is (-8, -1)
I'm not at my home computer, trQ, so I hope this works !!!
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Could You possibly get the coordinates, oh sorry. I meant solve not solve by graphing. Sorry for the confusiong.
OK......let's multiply the second equation by -1 all the way through...so we have....
-[ y = -(1/4)x -3 ] → -y = (1/4)x +3
Now add this equation to the first one......so we have
y = (1/2)x +3
-y = (1/4)x +3
-------------------
0 = (3/4)x + 6
Subtract 6 from both sides
-6 = (3/4)x multiply both sides by 4/3
-24/3 = x = -8
Now......just replace this value in one of the equations to get "y"...I''ll use the ffirst one...
y = -(1/2)(-8) + 3
y = -4 + 3
y = -1
And there's the solution !!!
Hope that helps trQ !!!!
-----------------------------------------------------------------------------------------------------------------------
Thanks again, ND....my eyes aren't what they once were!!!! (LOL!!!)
![]()
CPhill, I think you misinterpreted the second equation of a line. :)
You had
$$y=\frac{1}{4}x-3$$
but it looks like it is really
$$y=-\frac{1}{4}x-3$$
In this case, the second line would be going in the opposite direction, and would look something like this: https://www.desmos.com/calculator/fkwxfhm3gd
Thanks ND...I'll go back and edit my answer...I missed that minus sign.....!!!
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Sorry...I kinda' missed that minus sign....I went back and corrected my answer....thanks to NinjaDevo for bailing me out !!!
I assume you're OK with it, now???
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Yes sir. Thank You for your help. (P.S. Im about to ask more questions so be ready/prepared) ![]()