A radio station broadcast on a frequency of 980 kHz. Calculate the wavelength of the electromagnetic radiation.
Answers
Explanation:
• 3x - 4y = 10
• 4x + 3y = 5
\rule{150}2
3x - 4y = 10 ....[Equation 1]
4x + 3y = 5 ....[Equation 2]
\:\:\:\small\bold{\underline{\sf{\pink{Multiplying\: Equation\;(1)\;by \:3 \:\&\; Equation\;(2)\:by \; 4}}}}
MultiplyingEquation(1)by3&Equation(2)by4
\implies⟹ (3x - 4y = 10) × 3
\implies⟹ 9x - 12y = 30 .....[Equation 4]
\implies⟹ (4x + 3y = 5) × 4
\implies⟹ 16x + 12y = 20 .....[Equation 5]
\rule{150}2
\:\;\small\bold{\underline{\underline{\sf{\pink{Now,\:From \; Equations \;(3) \;\&\;(4)}}}}}
Now,FromEquations(3)&(4)
\implies\sf 9x -12y = 30⟹9x−12y=30
\implies\sf 16x + 12y = 20⟹16x+12y=20
\implies\sf 25x = 50⟹25x=50
\implies\sf x =\cancel\dfrac{50}{25}⟹x=
25
50
\implies\boxed{\sf{x\:=\:2}}⟹
x=2
Substituting the Value of x in Equation 1
\implies\sf 3x - 4y = 10⟹3x−4y=10
\implies\sf 3(2) - 4y = 10⟹3(2)−4y=10
\implies\sf 6 - 4y = 10⟹6−4y=10
\implies\sf 4y = 6 - 10⟹4y=6−10
\implies\sf 4y = -4⟹4y=−4
\implies\sf y = \cancel\dfrac{-4}{4}⟹y=
4
−4
\implies\boxed{\sf{y\:=\:-1}}⟹
y=−1
Hence, The Value of x is 2 & Value of y is -1.