Question

Ms. Vargas asked her students to write an expression equivalent to 4(x−y). After substituting some values for x and y, a student named Andrew rewrote the expression as 4x−y. Andrew's expression is not equivalent to 4(x−y), but he thought his work was correct based on the substitutions he tried. For which of the following integer values of x and y would Andrew's expression appear to be correct? Select two choices.

A. x=0,y=0
B. x=1,y=1
C.x=2,y=2
D.x=3,y=3

Answer 1

Andrew's expression, 4x−y, would appear to be correct for all values of x and y.

Step-by-step explanation:

To determine when Andrew's expression, 4x−y, would appear to be correct, we need to substitute values of x and y that make it equivalent to 4(x−y).

We can start by distributing the 4 in 4(x−y), giving us 4x−4y.

Now, let's compare this expression to Andrew's expression, 4x−y.

If 4x−y = 4x−4y, we can see that the y terms cancel out on both sides of the equation, leaving us with 0 = 0.

This means that no matter what values we choose for x and y, both expressions will always be the same, so Andrew's expression, 4x−y, will appear to be correct for all values of x and y.