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 .

Answer 1

To create an equivalent equation to \( 2x + 3y = 5 \) by multiplying the entire equation by 4, you would perform the following calculation:

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

Distributing the 4, we get:

\[ 8x + 12y = 20 \]

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

\[ 8x + 12y = 20. \]