Question

Find the value of y when x = 4 in the equation 3x - 7/y = 1/3 Show your work help

Answer 1

y = ⅗

Explanation:

3x – 7/y = 1/3 Substitute the value of x

3×4 – 7/y = 1/3

12 – 7/y = 1/3 Multiply each side by 3

36 – 21/y = 1 Subtract 36 from each side

-21/y = -35 Multiply each side by y

-21 = -35y Divide each side by -35

y = 21/35 Divide numerator and denominator by 7

y = ⅗

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Check:

3×4 – 7/(⅗) = 1/3

12 -7×5/3 = 1/3

12 – 35/3 = 1/3

(36 – 35)/3 = 1/3

1/3 = 1/3

Answer 2

3(4)-7/y=1/3
12-7/y=1/3
-7/y=1/3-12
-7/y=-35/3
Change signs and cross multiply
21=35y
Y=3/5