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: \( 6 \), Right side: \( -1 + 7 = 6 \). So it satisfies the first equation.

Step2: Check second equation

Substitute \( x = -1 \), \( y = 6 \) into \( y = -3x + 4 \).
Left side: \( 6 \), Right side: \( -3(-1) + 4 = 3 + 4 = 7 \).
Since \( 6
eq 7 \), it does not satisfy the second equation.

Answer:

\((-1, 6)\) is not a solution of the system.