Question

Which statement is true about the values x=1.5 and y=-1.5?

Answer 1

GIVEN:

We are told that two equations were plotted on the coordinate grid, and these are;

`\begin{gathered} -2y+6x=12---(1) \\ \\ 4x+12y=-12---(2) \end{gathered}`

The graphs intersect at the point;

`(1.5,-1.5)`

Required;

Select which statement is true about the values of x and y.

Step-by-step solution;

We will begin by plotting both lines on a graph page as follows;

The graph above clearly shows that the point of intersection (1.5, -1.5) is the ONLY solution that satisfies both linear equations.

Therefore,

ANSWER:

They are the only values that make both equations true.

The correct answer is option A.