Question

tell whether the ordered pair (1.5, 3) is a solution of the system of linear equations.
y = 4x - 3
y = -2x + 6
(1.5, 3)

Explanation:

Step1: Check first equation

Substitute \( x = 1.5 \), \( y = 3 \) into \( y = 4x - 3 \).
Right - hand side: \( 4\times1.5 - 3=6 - 3 = 3 \).
Left - hand side: \( y = 3 \). So, \( (1.5,3) \) satisfies \( y = 4x - 3 \).

Step2: Check second equation

Substitute \( x = 1.5 \), \( y = 3 \) into \( y=-2x + 6 \).
Right - hand side: \( - 2\times1.5+6=-3 + 6 = 3 \).
Left - hand side: \( y = 3 \). So, \( (1.5,3) \) satisfies \( y=-2x + 6 \).

Answer:

Since the ordered pair \((1.5,3)\) satisfies both equations of the system, \((1.5,3)\) is a solution of the system of linear equations.