Coordinates of the vertices

Calculate the coordinates of the vertices of a triangle if the equations of its sides are
7x-4y-1 = 0
x-2y + 7 = 0
2x + y + 4 = 0

Correct result:

x =  3
y =  5
a =  -3
b =  2
c =  -1
d =  -2

Solution:


7x-4y-1=0
x-2y+7=0

7•x-4•y-1=0
x-2•y+7=0

7x-4y = 1
x-2y = -7

x = 3
y = 5

Our linear equations calculator calculates it.

a-2b+7=0
2a+b+4=0

a-2•b+7=0
2•a+b+4=0

a-2b = -7
2a+b = -4

a = -3
b = 2

Our linear equations calculator calculates it.

7c-4d-1=0
2c+d+4=0

7•c-4•d-1=0
2•c+d+4=0

7c-4d = 1
2c+d = -4

c = -1
d = -2

Our linear equations calculator calculates it.

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