Question

Which statements are true about the ordered pair (−1,−4) and the system of equations?

x−y=3
7x−y=−3

Select each correct answer.

A. The ordered pair ​ (−1,−4) ​ is a solution to the system of linear equations.

B. The ordered pair ​(−1,−4) ​ is not a solution to the system of linear equations.

C. When ​ (−1,−4) ​ is substituted into the second equation, the equation is true.

D. When ​ (−1,−4) ​ is substituted into the first equation, the equation is false.

E. When ​ (−1,−4) ​ is substituted into the second equation, the equation is false

Answer 1

@mathstudent55

Answer 2

Oh, I see, you corrected the equations.

All you need to do is replace x with -1 and y with -4 in each equation and see if it makes true statements.

Answer 3

The first equation is:

x - y = 3

Now we substitute x with -1 and y with -4:

-1 - (-4) = 3

Can you do the subtraction on the left side?

Answer 4

You have two basic choices here:

1) Actually solve the system yourself.
2) Pick points, one at a time, from the given answer choices, and subst. the given x- and y-values into BOTH of the given equations. Are both equations then true? Then you've found a solution. Not true? Then that point does not represent a solution.

Personally, I'd prfer to solve the system of equations myself, to be sure which answer is the correct solution to this system.

Answer 5

It's true?

Answer 6

What is -1 - (-4) = ?

Answer 7

3

Answer 8

and 7*-1-(-4)=-3

Answer 9

so its true

Answer 10

so A,C and E?

Answer 11

@mathstudent55