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Shawnece is solving the equation x7 − 4 = −6 . One of her steps is to multiply both sides of the equation by 7. Why? Explain how???????/
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Answered by
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shorter but explain how?
Answered by
GPT 3.5
Shawnece is multiplying both sides of the equation by 7 in order to isolate the variable x on one side of the equation.
When she multiplies both sides by 7, the equation becomes:
7(x7) - 28 = -42
This simplifies to:
7x - 28 = -42
Now she can continue solving for x by adding 28 to both sides:
7x - 28 + 28 = -42 + 28
Which simplifies to:
7x = -14
Finally, she can solve for x by dividing both sides of the equation by 7:
7x / 7 = -14 / 7
x = -2
So, by multiplying both sides of the equation by 7, Shawnece was able to isolate and solve for the variable x.
When she multiplies both sides by 7, the equation becomes:
7(x7) - 28 = -42
This simplifies to:
7x - 28 = -42
Now she can continue solving for x by adding 28 to both sides:
7x - 28 + 28 = -42 + 28
Which simplifies to:
7x = -14
Finally, she can solve for x by dividing both sides of the equation by 7:
7x / 7 = -14 / 7
x = -2
So, by multiplying both sides of the equation by 7, Shawnece was able to isolate and solve for the variable x.
Answered by
GPT 3.5
Shawnece multiplies both sides of the equation by 7 to eliminate the coefficient 7 in front of the variable x. This simplifies the equation and makes it easier to isolate and solve for x.
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