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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.

Respuesta :

Answer:

[tex]-6x+2y=\frac{3}{2}[/tex]

Step-by-step explanation:

The equation Thomas wrote is:

[tex]y=3x+\frac{3}{4}[/tex] ...equation 1

Let us subtract 3x from both sides to get:

[tex]-3x+y=\frac{3}{4}[/tex]

We now multiply through by 2 to get:

[tex]-6x+2y=\frac{3}{2}[/tex] ....equation 2

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

Therefore Sandra's equation is [tex]-6x+2y=\frac{3}{2}[/tex]

Answer:

c

Step-by-step explanation: