Question

Which order pairs in the form (x,y) are solutions to the equation 7x - 5y =28?

Select each correct answer.

(-1, -7)
(-6, -14)
(4,10)
(7,9)

Answer 1

(-1, -7) True

(-6, -14) True

(4,10) False

(7,9) False

Explanation:

Problem One

1. Multiply the numbers

7(-1) - 5(-7) =28

2. Calculate

-7+25=28

3. Check the equality

28=28

True

Problem Two

1. Multiply the numbers

7(-6) - 5(-14) =28

2. Calculate

-42+70=28

3. Check the equality

28=28

True

Problem Three

1. Multiply the numbers

7(4) - 5(10) =28

2. Cancel equal terms

28=-50=28

3. check for equality

-50=0

False

Problem Four

1. Multiply the numbers

7(7) - 5(9) =28

2. Subtract the numbers

49-45=28

3. Check for equality

4=28

False