Question

i can determine if an ordered pair is a solution to a system. determine if the ordered pair is a solution of the system or not. justify your answer by showing your work. 27. $y = x - 4$ $y = -3x$ $(1, -3)$ 28. $y = x + 20$ $y = 6x$ $(-4, 24)$ 29. $y = -x - 4$ $y = x$ $(2, -2)$ 30. $y = x - 6$ $y = 2x$ $(-6, -12)$

Explanation:

Problem 27:

Step1: Check first equation

Substitute \( x = 1 \), \( y = -3 \) into \( y = x - 4 \).
Left side: \( y = -3 \), Right side: \( 1 - 4 = -3 \). So, \( -3 = -3 \), holds.

Step2: Check second equation

Substitute \( x = 1 \), \( y = -3 \) into \( y = -3x \).
Left side: \( y = -3 \), Right side: \( -3(1) = -3 \). So, \( -3 = -3 \), holds.

Step1: Check first equation

Substitute \( x = -4 \), \( y = 24 \) into \( y = x + 20 \).
Left side: \( y = 24 \), Right side: \( -4 + 20 = 16 \). \( 24
eq 16 \), so no need to check second equation.

Step1: Check first equation

Substitute \( x = 2 \), \( y = -2 \) into \( y = -x - 4 \).
Left side: \( y = -2 \), Right side: \( -2 - 4 = -6 \). \( -2
eq -6 \), so no need to check second equation.

Answer:

\((1, -3)\) is a solution.

Problem 28: