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 by 10 to isolate x .
Perform the multiplication: x = − 7 × 10 .
Calculate the value: x = − 70 .
The solution to the equation is x = − 70 .
Explanation
Understanding the Problem We are given the equation x /10 = − 7 and asked to solve for x . We need to isolate x to find its value.
Isolating x To isolate x , we multiply both sides of the equation by 10: 10 x × 10 = − 7 × 10
Solving for x This simplifies to: x = − 70
Final Answer Therefore, the solution is x = − 70 , which corresponds to option B.
Examples
Imagine you're sharing a pizza with friends. If the pizza is cut into 10 slices and you end up owing your friend 7 times the amount of one slice, this problem helps you calculate the total amount you owe. Understanding how to solve simple equations like this is useful in everyday situations where you need to calculate proportions or amounts.
To solve 10 x = − 7 , we multiply both sides by 10 to isolate x and obtain x = − 70 . The correct answer is option B. This shows how to solve a basic equation involving division and multiplication.
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