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Write an equation equivalent to 2x+3y=5

by multiplying the equation by 4.(1 point)
The equation 2x+3y=5
is equivalent to

1 answer

To find an equation equivalent to \(2x + 3y = 5\) by multiplying the entire equation by 4, you can follow these steps:

  1. Start with the original equation: \[ 2x + 3y = 5 \]

  2. Multiply each term by 4: \[ 4(2x) + 4(3y) = 4(5) \]

  3. Simplify each term: \[ 8x + 12y = 20 \]

Thus, the equation \(2x + 3y = 5\) is equivalent to \(8x + 12y = 20\) when multiplied by 4.