Question

which of these ordered pairs is a solution to this equation?
y = 5x - 7
(3, 8) (1, 3)

Explanation:

Step1: Test (3,8)

Substitute \( x = 3 \), \( y = 8 \) into \( y = 5x - 7 \).
Right - hand side: \( 5\times3 - 7=15 - 7 = 8 \).
Left - hand side: \( y = 8 \).
Since left - hand side = right - hand side, check if it holds.

Step2: Test (1,3)

Substitute \( x = 1 \), \( y = 3 \) into \( y = 5x - 7 \).
Right - hand side: \( 5\times1 - 7=5 - 7=- 2 \).
Left - hand side: \( y = 3 \).
Since \( 3
eq - 2 \), it does not hold.

Answer:

\((3,8)\)