Question
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???????/
Answers
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.
?
shorter but explain how?
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.