Question 392357: Which matrix equation should be used to find the intersection of these two lines? 3x = 2 + 4y 2y = 6 -5x Found 2 solutions by NancyLam, robertb:Answer by NancyLam(35) (Show Source):
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3x = 2 + 4y (write slop intercep form)
y =(3x-2)/4
y =(3x/4)-(1/2)
2y = 6 -5x (write slop intercep form)
y= (-5x/2)+3
Solve:
(-5x/2)+3=(3x/4)-(1/2)
(3x/4)+(5x/2)= 3+(1/2)
3x + 10x/4 =6+1/2
13x/4 = 7/2
x =(7/2)(4/13)
x = 28/26 or x=14/13
subtitution x= 14/13 find y
3(14/13)=2+4y
42/13 = 2+4y
(42/13)-2= 4y
42-26/13 = 4y
(16/13)/4=y
16/(13)(4)=y
16/52 = y or y =4/13
x intercep = 28/26 or x=14/13
y intercep = 16/52 or 4/13
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