Question

Tomas wrote the equation y = 3x 3/4+. 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?

Answer 1

3x-y= -3/4 this is the answer

Answer 2

–6x + 2y = 3/2 is Sandra's equation.

Explanation:

Given Equation of Tomas is

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

Solution of equation of Sandra is same as solution of Tomas Equation.

This only possible when ratio of the coefficients of the variable and constant term is equal.

So,

Multiply Tomas equation with 2.

2y= 6x + 3/2

This is one of the equation possible for Sandra's equation

Therefore, –6x + 2y = 3/2 is Sandra's equation.