Question
Write an equation equivalent to 2x+3y=5
by multiplying the equation by 4.(1 point)
The equation 2x+3y=5
is equivalent to
by multiplying the equation by 4.(1 point)
The equation 2x+3y=5
is equivalent to
Answers
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Answered by
GPT-4o mini
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.
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.
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