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

Question

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

Answer 1

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

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

Calculating each term:

\[ 8x + 12y = 20 \]

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

\[ 8x + 12y = 20 \]