For any two numbers a and b, the operation ‘⊕’ is defined as a ⊕ b = 3a – 2b. If x ⊕ 4 = 19, what is the value of x?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 9
Write x ⊕ 4 with the rule a ⊕ b = 3a – 2b, taking a = x and b = 4, and solve the equation.
x ⊕ 4 \(=3x-2\times4=3x-8\)
\(3x-8=19\)
\(3x=27\)
\(x=9\)
Check: \(3\times9-8=27-8=19\)