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How do you solve #16-7x=1-4x#?

Answer 1

Isaiah Anthony

#x = 5 #

#16 - 7 x = 1 - 4 x#

#16 - 1 = - 4x + 7x #

#15 = 3x #

#x = 15 / 3#

#x = 5 #

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Answer 2

Jameson Allen

To solve the equation 16 - 7x = 1 - 4x, you first need to simplify by combining like terms on both sides of the equation. Then, isolate the variable term (in this case, x) on one side of the equation by moving all other terms to the other side. Finally, solve for x by dividing both sides by the coefficient of x.

Here's the step-by-step process:

Subtract 1 from both sides: 16 - 7x - 1 = 1 - 1 - 4x
Simplify both sides: 15 - 7x = -4x
Add 4x to both sides to isolate the x terms on one side: 15 - 7x + 4x = -4x + 4x
Simplify both sides: 15 - 3x = 0
Subtract 15 from both sides: 15 - 15 - 3x = 0 - 15
Simplify both sides: -3x = -15
Divide both sides by -3 to solve for x: x = (-15)/(-3)
Simplify: x = 5

So, the solution to the equation is x = 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.