A pair of lines intersect at point (-3,4). Which pair of equations represents these Lines?
a) 2x + 3y = 6 & y = x - 7
b) 2x + 3y = 6 & y =-3x + 4
c) 2x + 3y = 6 & y= -5/3x - 1
d) 2x + 3y = 6 & y= 4/3x + 4
y = -5/3 * x -1
Multiplying by 3 and transposing x to the left side,
5x+3y = -3 (2)
2x+3y =6 (1)
Subtracting 2 from 1
2x+3y = 6 and y = -5/3 * x-1 have the point of intersection (-3,4)
Hence the correct option is C
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Thank you very much. I did get that answer by plugging in the coordinates and solving all 4 equations until everything was equal. Thank you for verifying. I will take your explanation to explain to my child how to do it. Thank you again.
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