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How do you solve $x + 9 y = 5$ $x+ 9y = 5$ and $x = 3 - 9 y$ $x = 3 - 9y$ ?

1 Answer

Jul 21, 2015

There is no solution for the given pair of equations. They represent two parallel lines with no points in common.

Explanation:

Since $x = 3 - 9 y$ $x=3-9y$
could be written as $x + 9 y = 3$ $x+9y = 3$

The given equations are equivalent to:
$XXXX$ $color(white)("XXXX")$ $x + 9 y = 5$ $color(blue)(x+9y) = 5$
and
$XXXX$ $color(white)("XXXX")$ $x + 9 y = 3$ $color(blue)(x+9y) = 3$

To be simultaneously true, it would be necessary for $5 = 3$ $5 = 3$

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