Question

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

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

Answer 1

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.

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