tomass equation\ntomas wrote the equation y = 3x+\\frac{3}{4}. when sandra wrote her equation, they…

tomass equation\ntomas wrote the equation y = 3x+\\frac{3}{4}. when sandra wrote her equation, they discovered that her equation had all the same solutions as tomass equation. which equation could be sandras?\n-6x + y = \\frac{3}{2}\n6x + y = \\frac{3}{2}\n-6x + 2y = \\frac{3}{2}\n6x + 2y = \\frac{3}{2}

tomass equation\ntomas wrote the equation y = 3x+\\frac{3}{4}. when sandra wrote her equation, they discovered that her equation had all the same solutions as tomass equation. which equation could be sandras?\n-6x + y = \\frac{3}{2}\n6x + y = \\frac{3}{2}\n-6x + 2y = \\frac{3}{2}\n6x + 2y = \\frac{3}{2}

Answer

Explanation:

Step1: Convert Tomas' equation to standard form

Original equation: ( y = 3x + \frac{3}{4} ). Subtract ( 3x ) from both sides: ( -3x + y = \frac{3}{4} ).

Step2: Multiply equation by 2 to find equivalent form

Multiply all terms by 2: ( -6x + 2y = \frac{3}{2} ).

Step3: Compare with options

Check each option against the transformed equation. Only the third option matches: ( -6x + 2y = \frac{3}{2} ).

Answer:

C. (-6x + 2y = \frac{3}{2})