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

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

1 answer

To rewrite the equation \( y = 7x - 12 \) in terms of \( x \), we'll isolate \( x \) on one side of the equation.

Starting with: \[ y = 7x - 12 \]

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

Now, divide both sides by 7: \[ x = \frac{y + 12}{7} \]

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

Among the provided options, the correct answer is: \[ x = \frac{(y + 12)}{7} \]

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