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solve using substitution. 5x - 7y = -13 y = 4 (□, □)

Question

solve using substitution. 5x - 7y = -13 y = 4 (□, □)

Explanation:

Step1: Substitute \( y = 4 \) into the first equation

We have the equation \( 5x - 7y = -13 \). Substitute \( y = 4 \) into it: \( 5x - 7\times4 = -13 \)

Step2: Simplify and solve for \( x \)

First, calculate \( 7\times4 = 28 \), so the equation becomes \( 5x - 28 = -13 \). Add 28 to both sides: \( 5x = -13 + 28 \), which simplifies to \( 5x = 15 \). Then divide both sides by 5: \( x = \frac{15}{5} = 3 \)

Answer:

\((3, 4)\)