Question

for each ordered pair, determine whether it is a solution to $5x - 3y = 7$.

$(x, y)$	is it a solution?
$(3, -7)$	$\circ$	$\circ$
$(-6, 2)$	$\circ$	$\circ$
$(5, 6)$	$\circ$	$\circ$
$(-1, -4)$	$\circ$	$\circ$

Explanation:

Step1: Check (3, -7)

Substitute \( x = 3 \), \( y = -7 \) into \( 5x - 3y \): \( 5(3) - 3(-7) = 15 + 21 = 36
eq 7 \). So No.

Step2: Check (-6, 2)

Substitute \( x = -6 \), \( y = 2 \): \( 5(-6) - 3(2) = -30 - 6 = -36
eq 7 \). So No.

Step3: Check (5, 6)

Substitute \( x = 5 \), \( y = 6 \): \( 5(5) - 3(6) = 25 - 18 = 7 \). So Yes.

Step4: Check (-1, -4)

Substitute \( x = -1 \), \( y = -4 \): \( 5(-1) - 3(-4) = -5 + 12 = 7 \). So Yes.

Answer:

• (3, -7): No
• (-6, 2): No
• (5, 6): Yes
• (-1, -4): Yes