tomas wrote the equation y = 3x +y equals 3 x plus startfraction 3 over 4 endfraction.. when sandra wrote her equation, they discovered that her equation had all the same solutions as tomas’s equation. which equation could be sandra’s?

–6x + y = negative 6 x plus y equals startfraction 3 over 2 endfraction.
6x + y = 6 x plus y equals startfraction 3 over 2 endfraction.
–6x + 2y = negative 6 x plus 2 y equals startfraction 3 over 2 endfraction.
6x + 2y = 6 x plus 2 y equals startfraction 3 over 2 endfraction.

Step-by-step explanation:

The equation Thomas wrote is:

...equation 1

Let us subtract 3x from both sides to get:

We now multiply through by 2 to get:

....equation 2

We can see that equation one and two are equivalent and hence have the same solution.

Therefore Sandra's equation is

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