tomass equation tomas wrote the equation y = 3x + 3/4. when sandra wrote her equation, they discovered that…

tomass equation tomas wrote the equation y = 3x + 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? -6x + y = 3/2 6x + y = 3/2 -6x + 2y = 3/2 6x + 2y = 3/2

tomass equation tomas wrote the equation y = 3x + 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? -6x + y = 3/2 6x + y = 3/2 -6x + 2y = 3/2 6x + 2y = 3/2

Answer

Answer:

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

Explanation:

Step1: Start with Tomas's equation

$y = 3x+\frac{3}{4}$

Step2: Rearrange to standard form

Subtract $3x$ from both sides: $- 3x+y=\frac{3}{4}$

Step3: Multiply by 2

Multiply each term by 2 to get an equivalent - equation. $2(-3x + y)=2\times\frac{3}{4}$ $-6x + 2y=\frac{3}{2}$ So the equation that has the same solutions as $y = 3x+\frac{3}{4}$ is $-6x + 2y=\frac{3}{2}$.