Question

1. $3x + 5y = 14$ → $3(3)+5(1)=14$

$y = 2x - 4$ → $2(3)-4=2$
$(3,1)$
solution? yes no

Explanation:

Step1: Check the second equation

Substitute \( x = 3 \) into \( y = 2x - 4 \).
\( y = 2(3) - 4 = 6 - 4 = 2 \). But the given \( y \) value is \( 1 \), so this fails the second equation.

Step2: (Optional, but check first equation too)

Substitute \( x = 3 \), \( y = 1 \) into \( 3x + 5y \).
\( 3(3) + 5(1) = 9 + 5 = 14 \), which matches the first equation, but since it fails the second, it's not a solution.

Answer:

NO