Question
Convert the following equation into standard form. \[ y=-\frac{2 x}{7}+5 \] \( [?] x+\square y=\square] \) Enter the coefficient of \( x \) as a positive number.
Ask by Harrington Carter. in the United States
Nov 28,2024
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Answer
The standard form is \( 2x+7y=35 \). The coefficient of \( x \) is 2.
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Mind Expander
To convert the equation \( y=-\frac{2 x}{7}+5 \) into standard form, we want to rearrange it such that \( Ax + By = C \). First, let's isolate \( x \) and \( y \) on one side. Starting from: \[ y = -\frac{2}{7}x + 5 \] We can multiply through by 7 to eliminate the fraction: \[ 7y = -2x + 35 \] Next, we add \( 2x \) to both sides to get: \[ 2x + 7y = 35 \] In standard form, using a positive coefficient for \( x \), our equation is: \[ 2x + 7y = 35 \]