Answer:
-y = -2x - 3
Option 3
Step-by-step explanation:
When equations are equivalent, they will have infinitely many solutions.
If you want to find an equivalent equation, you can <u>multiply/divide every</u> term in the equation by the same number. You can also <u>rearrange</u> the equation.
Since the options mostly have "y" by itself, start by <u>rearranging</u> to isolate "y" in the given equation.
Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.
Do reverse operations in reverse BEDMAS order.
2y - 4x = 6 Move "-4x" first. It's reverse is +4x.
2y - 4x + 4x = 6 + 4x
2y = 6 + 4x Move the "2" in 2y. Divide the whole equation by 2.
2y/2 = 6/2 + 4x/2
y = 3 + 2x Rearrange to look like the answer choices.
y = 2x + 3
This equation looks like option 3 except every term has a different negative/positive.
y = 2x + 3 -y = -2x - 3
We can <u>multiply every term</u> by -1.
y = 2x + 3
y*-1 = 2x*-1 + 3*-1
-y = -2x + (-3) Negative and positive make a negative
-y = -2x - 3 Same as option 3
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