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Heya!! Math Lover.
ax + by = c ... equation 1
bx + ay = d .... equation 2
€ ax + by = c
Squaring both sides
( ax + by )² = c²
( ax )² + ( by )² + 2abxy = c² ... equation 3
€ bx + ay = d
Squaring both sides
( bx + ay )² = d²
( bx )² + ( ay )² + 2abxy = d²... equation 4
Now, subtract equation 3 from 4
( bx )² + ( ay )² - ( ax )² - ( by )² = d² - c²
( bx )² - ( by )² + ( ay )² - ( ax)² = d² - c²
b² ( x² - y² ) - a² ( x² - y² ) = d² - c²
( x² - y² ) = ( d² - c² ) / ( b² - a² )
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