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16. $2x + 7y = 3$ $x = 1 - 4y$ solution: ( , ) type a response

Question

  1. $2x + 7y = 3$

$x = 1 - 4y$
solution: ( , )
type a response

Explanation:

Step1: Substitute \( x = 1 - 4y \) into \( 2x + 7y = 3 \)

\( 2(1 - 4y) + 7y = 3 \)

Step2: Expand and simplify the equation

\( 2 - 8y + 7y = 3 \)
\( 2 - y = 3 \)

Step3: Solve for \( y \)

\( -y = 3 - 2 \)
\( -y = 1 \)
\( y = -1 \)

Step4: Substitute \( y = -1 \) back into \( x = 1 - 4y \)

\( x = 1 - 4(-1) \)
\( x = 1 + 4 \)
\( x = 5 \)

Answer:

\((5, -1)\)