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For each ordered pair, determine when weather it’s a solution to 7x -6y=19

Solutions:
(7,5)
(1,-2)
(-5,3)
(-4,0)

User Ekhtiar
by
7.5k points

1 Answer

4 votes

Answer:

Options A and B

Solution:

  • In order to determine whether or not an ordered pair is a solution to an equation, plug in the values of x and y:
  • 7x-6y=19
  • 7(7)-6(5)=19
  • 49-30=19
  • 19=19
  • We have a true statement. Therefore, the ordered pair is a solution to the equation 7x-6y=19.
  • Let's try the other ordered pairs.
  • 7(1)-6(-2)=19
  • 7+12=19
  • 19=19
  • Here's another true statement.
  • Let's check the remaining two options:
  • 7(-5)-6(3)=19
  • -35-18=19
  • -53≠19
  • Here we have a false statement.
  • 7(-4)-6(0)=19
  • -28-6=19
  • -34≠19
  • Therefore, the ordered pairs that make this equation true are (7,5) and (1,-2)

Hope it helps.

Do comment if you have any query.

User GarrickW
by
6.9k points

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