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Complete the ordered pair for the equation \( \mathrm{y}=-10 \mathrm{x}+18 \) \( (\ldots, 78) \)

Ask by Frank Long. in the United States
Nov 20,2024

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The ordered pair is \( (-6, 78) \).

Solución

To find the value of \( x \) that corresponds to \( y = 78 \) in the equation \( y = -10x + 18 \), we can substitute \( y \) with 78 and solve for \( x \): \[ 78 = -10x + 18 \] Now, we can isolate \( x \): 1. Subtract 18 from both sides: \[ 78 - 18 = -10x \] \[ 60 = -10x \] 2. Divide both sides by -10: \[ x = \frac{60}{-10} = -6 \] Thus, the ordered pair is \( (-6, 78) \).

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The Deep Dive

To find the missing value in the ordered pair \( (\ldots, 78) \) for the equation \( y = -10x + 18 \), we need to substitute \( y = 78 \) into the equation and solve for \( x \): 1. Substitute \( y \) with \( 78 \): \[ 78 = -10x + 18 \] 2. Rearranging gives: \[ 78 - 18 = -10x \] \[ 60 = -10x \] 3. Now, divide by -10: \[ x = -6 \] Thus, the complete ordered pair is \( (-6, 78) \).

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