Final answer:
The given equation 1/2y - 7 = 3x represents a linear equation. To write it in standard form, multiply both sides of the equation by 2 to eliminate the fraction. Rearrange the equation to have y and x on the same side to obtain 6x - y = 14.
Step-by-step explanation:
The given equation 1/2y - 7 = 3x represents a linear equation. To write it in standard form, we need to eliminate fractions and have the variables on one side and the constant term on the other side of the equation.
First, we can multiply both sides of the equation by 2 to eliminate the fraction:
2(1/2y - 7) = 2(3x)
y - 14 = 6x
Next, we can rearrange the equation to have y and x on the same side:
6x - y = 14
Therefore, the equation 1/2y - 7 = 3x is linear and can be written in standard form as 6x - y = 14.