Question

tell whether the ordered pair (3, -7) is a solution of the system of linear equations. y = 2x - 13 y = -3x + 2

Explanation:

Step1: Check first equation

Substitute \(x = 3\), \(y=-7\) into \(y = 2x - 13\).
Right - hand side: \(2(3)-13=6 - 13=-7\).
Left - hand side: \(y=-7\). So, \((3,-7)\) satisfies \(y = 2x-13\).

Step2: Check second equation

Substitute \(x = 3\), \(y = - 7\) into \(y=-3x + 2\).
Right - hand side: \(-3(3)+2=-9 + 2=-7\).
Left - hand side: \(y=-7\). So, \((3,-7)\) satisfies \(y=-3x + 2\).

Answer:

Yes, the ordered pair \((3,-7)\) is a solution to the system of linear equations.