Linear Equations in Real-World Scenarios Quick Check

Question

4 of 54 of 5 Items
Question
Manipulate the equation y=7x−12 so that it is written in terms of x . Which equation is equivalent to y=7x−12 ?(1 point)
Responses

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

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

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

x=(y+12)7

Answer 1

To manipulate the given equation \( y = 7x - 12 \) and express \( x \) in terms of \( y \), follow these steps:

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

2. Add 12 to both sides: \[ y + 12 = 7x \]

3. Divide both sides by 7: \[ x = \frac{y + 12}{7} \]

Now, looking at the given response options, the equivalent equation is: \[ x = \frac{(y + 12)}{7} \]

Thus, the correct response is: x = (y + 12) / 7.