Question

Solve the linear equation 2.25 – 11j – 7.75 +1.5j = 0.5j – 1.

j=-0.45
j=-0.25
j = 0.25
j = 0.45

Answer 1

j = − 0.45

Step-by-step explanation:

2.25−11j−7.75+1.5j=0.5j−1

Step 1: Simplify both sides of the equation.

2.25−11j−7.75+1.5j=0.5j−1

2.25+−11j+−7.75+1.5j=0.5j+−1

(−11j+1.5j)+(2.25+−7.75)=0.5j−1(Combine Like Terms)

−9.5j+−5.5=0.5j−1

−9.5j−5.5=0.5j−1

Step 2: Subtract 0.5j from both sides.

−9.5j−5.5−0.5j=0.5j−1−0.5j

−10j−5.5=−1

Step 3: Add 5.5 to both sides.

−10j−5.5+5.5=−1+5.5

−10j=4.5

Step 4: Divide both sides by -10.

-10j/-10 = 4.5/-10

j = − 0.45

Answer 2

Answer: j = -0.45

Step-by-step explanation:

2.25 – 11j – 7.75 +1.5j = 0.5j – 1

We can group similar terms:

-11j +1.5j -0.5j = -1 - 2.25 + 7.75

-10j = 4.5

j = 4.5/-10

j = -0.45

Answer: j = -0.45

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