Manipulate the equation y=7x−12 so that it is written in terms of x . Which equation is equivalent to y=7x−12

Answer 1

To manipulate the equation \( y = 7x - 12 \) so that it is written in terms of \( x \), we need to solve for \( x \). Here are the steps:

1. Start with the equation: \[ y = 7x - 12 \]

2. Add 12 to both sides to isolate the term with \( x \): \[ y + 12 = 7x \]

3. Now, divide both sides by 7 to solve for \( x \): \[ x = \frac{y + 12}{7} \]

So, the equation \( x \) in terms of \( y \) is: \[ x = \frac{y + 12}{7} \]

This is the equivalent equation for \( y = 7x - 12 \) when rewritten in terms of \( x \).

Answer 2

Answer Choice:

x=(y7)+12
x equals left parenthesis Start Fraction y over 7 End Fraction right parenthesis plus 12

x=(y12)−7
x equals left parenthesis Start Fraction y over 12 End Fraction right parenthesis minus 7

x=(y+12)7
x equals Start Fraction left parenthesis y plus 12 right parenthesis over 7 End Fraction

x=(y−12)7

Answer 3

From the previous manipulation of the equation \( y = 7x - 12 \), we found that:

\[ x = \frac{y + 12}{7} \]

Among the answer choices you provided, the equivalent expression corresponds to:

Choice: \[ x = \left( \frac{y + 12}{7} \right) \]

So, this is the correct option.