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: Rearrange Tomas's equation

Given $y = 3x+\frac{3}{4}$, we can rewrite it in the general form $Ax + By=C$. Subtract $3x$ from both sides to get $- 3x+y=\frac{3}{4}$.

Step2: Multiply the equation by a non - zero constant

Multiply the equation $-3x + y=\frac{3}{4}$ by 2. Using the distributive property, we have $2(-3x)+2y = 2\times\frac{3}{4}$. $ - 6x+2y=\frac{3}{2}$

Answer:

$-6x + 2y=\frac{3}{2}$ (the third option)