两个数字的和是 50,它们的差是 10。找出这些数字。
引入了一个系统来定义从负无穷到正无穷的数字。该系统被称为数字系统。数系很容易在数轴上表示,整数、整数、自然数都可以在数轴上定义。数轴包含正数、负数和零。
方程是一种数学语句,它用“=”符号连接两个相等值的代数表达式。
例如:在等式 3x+2 = 5 中,3x+ 2 是左侧表达式,5 是与“=”符号连接的右侧表达式。
主要有3种方程:
- 线性方程
- 二次方程
- 多项式方程
在这里,我们将研究线性方程组。
一个变量的线性方程是写成 ax + b = 0 的方程,其中 a 和 b 是两个整数,x 是一个变量,并且只有一个解。例如,3x+2=5 是一个只有一个变量的线性方程。因此,这个方程只有一个解,即 x = 3/11。另一方面,两个变量的线性方程有两个解。
A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.
这个方程只有一个解。这里有一些例子:
- 4x = 8
- 5x + 10 = -20
- 1 + 6x = 11
一个变量中的线性方程以标准形式写成:
ax + b = 0
Here,
- The numbers ‘a’ and ‘b’ are real.
- Neither ‘a’ nor ‘b’ are equal to zero.
求解一个变量中的线性方程
求解只有一个变量的方程的步骤如下:
步骤 1:如果有任何分数,请使用 LCM 将其删除。
第 2 步:等式两边都应该简化。
第 3 步:从方程中删除变量。
第 4 步:确保您的回答是正确的。
问题陈述:两个数字的和是50,它们的差是10。任务是找到数字。
解决方案:
Let both numbers be first and second.
According to the problem statement:
first + second = 50 (Consider this as 1st equation)
first – second = 10 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 50 + 10
2 * first = 60
first = 60 / 2
first = 30
So from this, we get first = 30, put this value in any equation i.e.
first + second = 50 (Put the value of first in this equation)
30 + second = 50
second = 50-30
second = 20
So, the numbers are 30 and 20.
If we consider the case i.e. second – first = 10 then the solution will be the same and the first number will become 20 and the second number will become 30.
样题:两个数的和是20,差是10。任务是找出这些数。
解决方案:
Let both numbers be first and second.
According to the problem statement:
first + second = 20 (Consider this as 1st equation)
first – second = 10 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 20 + 10
2 * first = 30
first = 30 / 2
first = 15
So from this, we get first = 15, put this value in any equation i.e.
first + second = 20 (Put the value of first in this equation)
15 + second = 20
second = 20-15
second = 5
So, the numbers are 15 and 5.
If we consider the case i.e. second – first = 10 then the solution will be the same and the first number will become 5 and the second number will become 15.