Which ordered pair makes the equation true?

Question

2x – 5y = –10

1) (5, 4) 2) (–10, 4) 3) 

(5,- 4) 4)(-5,- 4)

 

Answer 1

The equation is 2x - 5y = - 10.

1). Substitute the values of  (x, y) = (5, 4) in 2x - 5y = - 10.

2(5) - 5(4) = - 10

10 - 20 = - 10

- 10 = - 10.

The above statement is true, so, the ordered pair (5, 4) makes the equation true.

2). Substitute the values of  (x, y) = (- 10, 4) in 2x - 5y = - 10.

2( - 10 ) - 5(4) = - 10

- 20 - 20 = - 10

- 40 = - 10.

The above statement is false, so, the ordered pair (- 10, 4) does not makes the equation true.

3). Substitute the values of  (x, y) = (5, - 4) in 2x - 5y = - 10.

2( 5 ) - 5(- 4) = - 10

10 + 20 = - 10

30 = - 10.

The above statement is false, so, the ordered pair (5, - 4) does not makes the equation true.

4). Substitute the values of  (x, y) = (- 5, - 4) in 2x - 5y = - 10.

2( - 5 ) - 5(- 4) = - 10

- 10 + 20 = - 10

10 = - 10.

The above statement is false, so, the ordered pair (- 5, - 4) does not makes the equation true.