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SMO 2020 Open Round 1 Question 4

SMO · SMO 2020 Open Round 1

Question 4

Given that the three planes in the Cartesian space with equations $2x+4y+6z=5$, $3x+5y+2z=6$ and $8x+14y+az=b$ have a common line of intersection, find the value of $a+b$.