Question

solve the system of equations.
$2x + 7y = 3$
$x = -4y$
$x = \square$
$y = \square$
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Explanation:

Step1: Substitute \( x = -4y \) into \( 2x + 7y = 3 \)

Substitute \( x \) in the first equation: \( 2(-4y) + 7y = 3 \)

Step2: Simplify and solve for \( y \)

Simplify the left - hand side: \( -8y+7y = 3 \), which is \( -y = 3 \). Multiply both sides by - 1, we get \( y=-3 \)

Step3: Substitute \( y = - 3 \) into \( x=-4y \) to find \( x \)

Substitute \( y=-3 \) into \( x = - 4y \), we have \( x=-4\times(-3)=12 \)

Answer:

\( x = 12 \), \( y=-3 \)