Question

Solve for y, then find the value of y when given x = –2.

6x = 7 – 4y
(1 point)
Responses

–12
–12

7 over 4
Image with alt text: 7 over 4

19 over 4
Image with alt text: 19 over 4

24
24

Answer 1

To solve for y, we need to isolate the variable y on one side of the equation.

Starting with the equation:

6x = 7 - 4y

First, let's move the term with y to the other side by adding 4y to both sides of the equation:

6x + 4y = 7

Next, let's isolate y by subtracting 6x from both sides:

4y = 7 - 6x

Now, divide both sides by 4 to solve for y:

y = (7 - 6x) / 4

To find the value of y when x = -2, substitute -2 for x in the equation:

y = (7 - 6(-2)) / 4

Simplifying the equation:

y = (7 + 12) / 4

y = 19 / 4

Therefore, when x = -2, the value of y is 19/4.