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

Question

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

Answer 1

To find an equation equivalent to \( 2x + 3y = 5 \) by multiplying the entire equation by 4, we perform the following multiplication:

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

Distributing the 4, we get:

\[ 8x + 12y = 20 \]

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

\[ 8x + 12y = 20 \]