Question

Write an equation equivalent to 2𝑥+3𝑦=5 by multiplying the equation by 4.

Answer 1

To find an equation equivalent to \(2x + 3y = 5\) by multiplying it by 4, simply multiply each term in the equation by 4:

\[
4(2x) + 4(3y) = 4(5)
\]

This simplifies to:

\[
8x + 12y = 20
\]

So, the equation equivalent to \(2x + 3y = 5\) after multiplying by 4 is:

\[
8x + 12y = 20
\]