Question

Express y in terms of x! Find the value of y when x = ‐1.
1/6x + 3/4y =4​

Answer 1

Answer:
y=5 5/9

Explanation:
1/6(-1)+3/4y=4
-1/6=4-3/4y
-1/6-4=-3/4y
-4 1/6=-3/4y
4 1/6=3/4y
1/4y=1 7/18
y=1 7/18*4
y=5 5/9

Answer 2

Hey there!

1/6x + 3/4y = 4

1/6(-1) + 3/4y = 4

- 1/6 + 3/4y = 4

3/4y - 1/6 = 4

ADD 1/6 to BOTH SIDES

3/4y - 1/6 + 1/6 = 4 + 1/6

SIMPLIFY IT!
3/4y = 4 + 1/6

3/4y = 25/6

MULTIPLY 4/3 to BOTH SIDES

3/4y * 4/3 = 25/6 * 4/3

SIMPLIFY IT!
y = 25/6 * 4/3

y = 50/9

y = 5 5/9

Therefore, the answer should be:

y = 5 5/9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)