/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 \(x+26=17\)... [FREE SOLUTION] | 91影视

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Chapter 2: Problem 17

\(x+26=17\)

Short Answer

Expert verified
x = -9

Step by step solution

01

Identify the Equation

The given equation is: \(x + 26 = 17\)
02

Isolate the Variable

To find the value of \(x\), isolate the variable by subtracting 26 from both sides of the equation: \(x + 26 - 26 = 17 - 26\)
03

Simplify Both Sides

Simplify both sides of the equation: \(x = 17 - 26\)
04

Calculate the Result

Perform the subtraction: \(x = -9\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

isolate the variable
In a linear equation like \(x + 26 = 17\), 'isolate the variable' means we want to get \(x\) alone on one side of the equation. This helps us find its value. Let's break it down:
simplify both sides
After isolating the variable on one side, we simplify both sides of the equation. Let's consider the equation step by step. First, after subtracting 26 from both sides of our original equation, we get: \(x + 26 - 26 = 17 - 26\). This simplifies to \(x = 17 - 26\). Here, 26 was subtracted from 26, leaving us with \(x\) alone on the left side. It's important to do the same operation (subtraction, in this case) on both sides to keep the equation balanced.
perform subtraction
Now we need to perform the subtraction to find the value of \(x\). From our simplified equation \(x = 17 - 26\), we subtract 26 from 17. This results in \(x = -9\). By performing this simple arithmetic, we find that \(x\) equals \(-9\). Thus, the solution to the equation \(x + 26 = 17\) is \(x = -9\). Remembering to subtract correctly is crucial when working with both positive and negative numbers.

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