Question

tell whether the ordered pair (-1, 6) is a solution of the system of linear equations. y = x + 7; y = -3x + 4

Explanation:

Step1: Check first equation

Substitute \( x = -1 \), \( y = 6 \) into \( y = x + 7 \).
Left side: \( y = 6 \), Right side: \( -1 + 7 = 6 \). So \( 6 = 6 \), holds.

Step2: Check second equation

Substitute \( x = -1 \), \( y = 6 \) into \( y = -3x + 4 \).
Left side: \( y = 6 \), Right side: \( -3(-1) + 4 = 3 + 4 = 7 \). So \( 6
eq 7 \), does not hold.

Answer:

The ordered pair \((-1, 6)\) is not a solution of the system of linear equations.