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What operation needs to be performed to go from the equation 2x+7y=14

2
x
+
7
y
=
14
to the equivalent equation 4x+14y=28
4
x
+
14
y
=
28
.(1 point)
The equation 2x+7y=14
2
x
+
7
y
=
14
should be multiplied by
to produce the equivalent equation 4x+14y=28
4
x
+
14
y
=
28
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
21 days ago

To go from the equation \( 2x + 7y = 14 \) to the equivalent equation \( 4x + 14y = 28 \), you should multiply the entire equation \( 2x + 7y = 14 \) by **2**.

So, \( 2 \cdot (2x + 7y) = 2 \cdot 14 \) gives you:

\[
4x + 14y = 28.
\]

The correct answer is **2**.