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Which of the following values of z will result in a true statement when substituted into the given equation? pls explain.....

1/5(3+2z)-4z= -3

a)z=1

b)z=-1

c)z=3

d)z=-3

Respuesta :

Answer:

A. Z=1

Step-by-step explanation:

Isolate z on one side of the equation.

1/5(3+2z)-4z=-3

1/5(3+2z)*5-4z*5=-3*5 (First, multiply 5 from both sides.)

-3*5 (Solve.)

-3*5=-15

3+2z-20z=-15 (Rewrite the equation problem.)

2z-20z (Solve.)

20z-2z=18z

3-18z=-15

3-18z-3=-15-3 (Subtract 3 from both sides.)

-15-3 (Solve.)

-15-3=-18

-18z=-18

-18z/-18=-18/-18 (Then, divide by -18 from both sides.)

-18/-18 (Solve.)

-18/-18=1

z=1

Therefore, the correct answer is (A.) z=1.

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