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Solve for y in the following equation:
1/2x +1/4y = z + 3
Select the correct answer below:
a. y = 4z - 2x + 12
b. y = 4x - 4z + 12
c. y = 4z - 2x + 8
d. y = 1/4z -1/8x +3/4
e. y = 4z - 4z - 12

Sagot :

Answer:

(a)

Step-by-step explanation:

given the equation

[tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{4}[/tex] y = z + 3

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2x + y = 4z + 12 ( subtract 2x from both sides )

y = 4z - 2x + 12

regalmocha17

a. y = 4z - 2x + 12

Given the equation:

1/2x + 1/4y = z + 3

Solve for y.

1/2x + 1/4y = z + 3

Subtract 1/2x from both sides.

1/4y = z + 3 - 1/2x

Multiply both sides by 4 to get y.

y = 4(z + 3 - 1/2x)

y = 4z + 12 - 2x

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