Shoneys in solving the equation X over 7-4 equals -6 one of her steps is to multiply both sides of the equation by seven why multiplying both sides by seven undo is the division of X by seven in the original problem multiplying by both sides by seven undo is the subtraction of the original problem The negative sign in -6 must be changed to positive multiplying both sides by seven undo station in the original problem. .
Multiplying both sides of the equation by seven is not undoing the division of X by seven. It is a step in the process of isolating X on one side of the equation.
When we multiply both sides of the equation by seven, it helps to eliminate the fraction (X/7) on the left side. By doing so, we can simplify the equation and make it easier to solve.
Let's go through the steps:
Original equation: X/7 - 4 = -6
1. Multiply both sides by 7 to eliminate the fraction: 7 * (X/7) - 7 * 4 = 7 * (-6)
This simplifies to:
X - 28 = -42
2. Add 28 to both sides to isolate X:
X - 28 + 28 = -42 + 28
This simplifies to:
X = -14
So, by multiplying both sides by seven, we did not undo the division of X by seven. We used it as a step to simplify the equation and solve for X.