Question

Solve for y, then find the value of y when given x = –2. 6x = 7 – 4y (1 point) Responses –12 –12 Image with alt text: Start Fraction 7 over 4 End Fraction Image with alt text: 19/4 Fraction 24

Answer 1

To solve for y, we can start by isolating y on one side of the equation.

Given equation: 6x = 7 - 4y

First, subtract 7 from both sides:
6x - 7 = -4y

Next, divide both sides by -4 to solve for y:
(6x - 7) / -4 = y

Simplifying the expression further:
y = (-6x + 7) / 4

Now, substitute x = -2 into the equation to find the value of y:
y = (-6(-2) + 7) / 4

Simplifying further:
y = (12 + 7) / 4
y = 19/4

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