Solve $x / 10=-7$.
A) $x=3$
B) $x=-70$
C) $x=-0.7$
D) $x=-17$
Answer (2)
Multiply both sides of the equation 10 x = − 7 by 10.
Simplify the equation to isolate x .
Calculate the value of x .
The solution to the equation is x = − 70 .
Explanation
Understanding the Problem We are given the equation 10 x = − 7 and asked to solve for x . We need to find the value of x that satisfies this equation.
Isolating x To isolate x , we multiply both sides of the equation by 10:
Multiplying by 10 10 x × 10 = − 7 × 10
Simplifying the Equation This simplifies to:
Finding the Value of x x = − 70
Selecting the Correct Answer Therefore, the solution to the equation is x = − 70 . Comparing this to the given options, we see that option B is the correct answer.
Examples
Imagine you're sharing a pizza with friends, and each slice represents a fraction of the whole pizza. If you know that each person gets a certain fraction of the pizza and you want to find out how many slices the whole pizza has, you're essentially solving an equation similar to this one. Understanding how to solve for unknowns in fractions helps in everyday situations like dividing resources or calculating proportions.
To solve the equation 10 x = − 7 , you multiply both sides by 10 to isolate x . This gives you x = − 70 , making option B the correct answer. Thus, the solution is x = − 70 .
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