Question

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.

Answer 1

c

Explanation:

Answer 2

`-6x+2y=(3)/(2)`

Explanation:

The equation Thomas wrote is:

`y=3x+(3)/(4)` ...equation 1

Let us subtract 3x from both sides to get:

`-3x+y=(3)/(4)`

We now multiply through by 2 to get:

`-6x+2y=(3)/(2)` ....equation 2

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

Therefore Sandra's equation is
`-6x+2y=(3)/(2)`