Question

1. which coordinate is a solution for $3x - 4y = 8$?

$(-4, -4)$
$(-2, 4)$
$(1, -3)$
$(4, 1)$

Explanation:

Step1: Test (-4, -4)

Substitute \( x = -4 \), \( y = -4 \) into \( 3x - 4y \):
\( 3(-4) - 4(-4) = -12 + 16 = 4
eq 8 \).

Step2: Test (-2, 4)

Substitute \( x = -2 \), \( y = 4 \) into \( 3x - 4y \):
\( 3(-2) - 4(4) = -6 - 16 = -22
eq 8 \).

Step3: Test (1, -3)

Substitute \( x = 1 \), \( y = -3 \) into \( 3x - 4y \):
\( 3(1) - 4(-3) = 3 + 12 = 15
eq 8 \).

Step4: Test (4, 1)

Substitute \( x = 4 \), \( y = 1 \) into \( 3x - 4y \):
\( 3(4) - 4(1) = 12 - 4 = 8 \).

Answer:

(4, 1)