解线性方程
什么是线性方程?
- 线性方程是指在图形上画出一条直线的方程
- 最伟大的力量
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px">在线性方程中是1x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 这意味着没有条款
" class="Wirisformula" role="math" alt="空间x平方" style="vertical-align:-6px;height:23px;width:22px">或者更高阶x 2 {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 这意味着没有条款
- 线性方程通常是有形式的
" class="Wirisformula" role="math" alt="ax空间加上空间b空间等于空间c" style="vertical-align:-6px;height:22px;width:88px">a x + b = c {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 在哪里
" class="Wirisformula" role="math" alt="A,空格,b,逗号" style="vertical-align:-6px;height:22px;width:34px">而且a , b , {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="c" style="vertical-align:-6px;height:22px;width:10px">都是常数c {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="x空间" style="vertical-align:-6px;height:22px;width:15px">是一个变量x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 在哪里
如何解线性方程?
- 要解线性方程,通常需要分离变量
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px">,通过执行逆操作来双方方程的x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 逆运算就是与变量已经发生的运算相反的运算
- 逆运算的顺序很重要
- 大多数情况下,这将是反过来的BIDMAS
- 然而,这取决于对变量进行运算以形成方程的顺序
如何解这种形式的线性方程斧头+b=c?
- 这些操作已应用来
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px">这里有:x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
乘以 " class="Wirisformula" role="math" alt="一个" style="vertical-align:-6px;height:22px;width:10px">a {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤1
-
- 步骤2
添加 " class="Wirisformula" role="math" alt="b" style="vertical-align:-6px;height:22px;width:11px">b {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤2
- 为了解决这个问题,你必须在相反的顺序
- 步骤1
减去 " class="Wirisformula" role="math" alt="b" style="vertical-align:-6px;height:22px;width:11px">b {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤2
除以 " class="Wirisformula" role="math" alt="一个" style="vertical-align:-6px;height:22px;width:10px">a {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤1
- 例如,解这个方程
" class="Wirisformula" role="math" alt="2x空间加上空间1空间等于空间9" style="vertical-align:-6px;height:22px;width:88px">2 x + 1 = 9 {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
减去1
- 步骤1
-
- 步骤2
除以2
- 步骤2
- 如果任何术语有否定的,都要格外小心
- 例如,解这个方程
" class="Wirisformula" role="math" alt="2空格减去3 *空格等于10" style="vertical-align:-6px;height:22px;width:97px">2 - 3 x = 10 {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
减去2
- 步骤1
-
-
- 注意不要丢掉负号
- 步骤2
除以-3
-
如何解一个带未知变量的线性方程,x,在双方?
- 如果一个线性方程包含未知变量,通常
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">两边都是从方程一侧的这些项开始的x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 移动
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">系数最小的项(前面的数)x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">)最简单x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 移动
- 例如,解这个方程
" class="Wirisformula" role="math" alt="4x空间减去7空间等于11空间加上空间x" style="vertical-align:-6px;height:22px;width:132px" loading="lazy">4 x - 7 = 11 + x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
移动 " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">的系数最小的项x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 系数是4和1,移动
" class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">-项在右边x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 系数是4和1,移动
- 步骤1
-
- 步骤2
用上述方法求解线性方程
- 步骤2
如何解包含括号的线性方程?
- 如果一个线性方程在一侧或两侧包含方括号,则从展开方括号开始
- 例如,解这个方程
" class="Wirisformula" role="math" alt="2开括号x空格减去空格1闭括号空格等于空格10空格减去开括号3空格加上空格x闭括号" style="vertical-align:-6px;height:22px;width:186px" loading="lazy">2 x - 1 = 10 - 3 + x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
扩大两边的括号
- 步骤1
-
- 步骤2
收集 " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">把项移到一边,减去系数较小的项x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤2
-
-
- 如果任何术语有否定的,都要格外小心
- 步骤3
用上述方法求解线性方程
-
如何解包含分数的线性方程?
- 如果一个线性方程在一边或两边都包含分数,通过两边乘以分母上的所有东西来去掉分数
- 记住先在表达式周围加上括号
- 例如,解这个方程
" class="Wirisformula" role="math" alt="分数分子2除以分母x空间加上空间3端分数空间等于空间分数分子空间3除以分母4空间减去空间2乘以端分数" style="vertical-align:-17px;height:47px;width:139px" loading="lazy">你需要把方程两边同时乘以2 x + 3 = 3 4 - 2 x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="开括号x空格加空格3闭括号" style="vertical-align:-6px;height:22px;width:57px" loading="lazy">而且x + 3 {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="开括号4个空格减去2个空格,闭括号" style="vertical-align:-6px;height:22px;width:66px" loading="lazy">4 - 2 x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} - 步骤1
两边同时乘以 " class="Wirisformula" role="math" alt="开括号x空格加空格3闭括号" style="vertical-align:-6px;height:22px;width:57px" loading="lazy">x + 3 {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤1
-
- 步骤2
两边同时乘以 " class="Wirisformula" role="math" alt="开括号4个空格减去2个空格,闭括号" style="vertical-align:-6px;height:22px;width:66px" loading="lazy">4 - 2 x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤2
-
- 步骤3
扩大两边的括号
- 步骤3
-
- 步骤4
收集 " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">把项移到一边,减去系数较小的项x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} " class="Wirisformula" role="math" alt="x" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">x {"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}
- 步骤4
-
- 步骤5
解方程- 如果能让解方程更简单,可以互换两边
- 步骤5
考试技巧
- 如果考试有时间,你应该把你的答案代回方程式,检查一下你是否答对了