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 to \( 2x + 3y = 5 \) by multiplying it by 4, you simply multiply each term in the equation by 4.

Starting with the original equation:

\[ 2x + 3y = 5 \]

Now, multiply each term by 4:

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

This simplifies to:

\[ 8x + 12y = 20 \]

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

\[ 8x + 12y = 20 \]