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Re-arrange 4y=2x-7 to get x

2 Answers

1 vote
x = (4y + 7)/2.


First, switch sides so the variable x is on the left of the equation: 2x - 7 = 4y.
Next, add 7 to both sides of the equation:
2x - 7 + 7 = 4y + 7
2x = 4y + 7
Now, we isolate the variable, x. To do this, divide both sides by 2:
2x/2 = (4y + 7)/2
x = (4y + 7)/2.
User Fred
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Hello!

Answer:


\Large \boxed{\sf x = 2y + 3.5}

Explanation:

→ We want to solve x in this equation:


\sf 4y=2x-7

Subtract 4y from both sides:


\sf 4y-4y=2x-7-4y

Simplify both sides:


\sf 0=2x-7-4y

Subtract 2x from both sides:


\sf 0-2x=2x-7-4y-2x

Simplify both sides:


\sf -2x=-7-4y

Divide both sides by -2:


\sf (-2x)/(-2) = (-7-4y )/(-2)

Simplify both sides:


\sf x = (7+4y )/(2)


\boxed{\sf x = 2y + 3.5}

Conclusion:

In the equation 4y = 2x - 7, x is equal to 2y + 3.5.

User Dzamo Norton
by
7.6k points

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