solve the linear equation ( 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1 ).\n( j=-0.45 )\n( j=-0.25 )\n( j = 0.25…
solve the linear equation ( 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1 ).\n( j=-0.45 )\n( j=-0.25 )\n( j = 0.25 )\n( j = 0.45 )
Answer
Explanation:
Step1: Combine like terms
Combine the constant terms (2.25 - 7.75=-5.5) and the (j) - terms (-11j + 1.5j=-9.5j). The equation becomes (-9.5j-5.5 = 0.5j-1).
Step2: Move (j) terms to one side
Add (9.5j) to both sides: (-9.5j + 9.5j-5.5=0.5j+9.5j - 1), which simplifies to (-5.5 = 10j-1).
Step3: Move constant terms to one side
Add (1) to both sides: (-5.5 + 1=10j-1 + 1), so (-4.5 = 10j).
Step4: Solve for (j)
Divide both sides by (10): (j=\frac{-4.5}{10}=-0.45).
Answer:
(j = - 0.45) (the first option)