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#31605

linear equations

systems

equations

hard

180 sec

The system of equations $2 a x + 3 y = 18$ and $3 x + b y = 24$ is given. In the given system of equations, $a$ and $b$ are constants. The graphs of these equations in the $x y$ -plane intersect at the point $(3, 2)$ . What is the value of $a + b$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.