This topic is the calculation of a linear equation with one variable, and the detailed process is as follows:
6x+3x=4.5，
(6+3)x=4.5，
9x=4.5，
X=0.5，
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The inspection process of this problem is as follows:
Left = 6x+3x = 9x = 9 * 0.5 = 4.5；;
Right = 4.5,
Left = right, that is, x=0.5 is the solution of the equation.
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For example, X- 1/6=2-4/5, and solve the equation.
This topic is the calculation of a linear equation with one variable, and the detailed process is as follows:
x- 1/6=2-4/5，
x=2-4/5+ 1/6
x=6/5+ 1/6，
x=36/30+5/30=4 1/30，
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The inspection process of this problem is as follows:
left = X- 1/6 = 4 1/30- 1/6 = 4 1/30-5/30 = 36/30 = 6/5；
Right =2-4/5= 10/5-4/5=6/5,
Left = right, that is, x=4 1/30 is the solution of the equation.
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Another example is 6(x-5)+2x=2 to solve the equation.
This topic is the calculation of a linear equation with one variable, and the detailed process is as follows:
6(x-5)+2x=2，
6x-30+2x=2，
6x+2x=30+2，
8x=32，
X=4，
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The inspection process of this problem is as follows:
left = 6(x-5)+2x = 6x-30+2x = 8x-30 = 8 * 4-30 = 32-3 = 2；
Right = 2,
Left = right, that is, x=4 is the solution of the equation.
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Knowledge expansion:
One-dimensional linear equation refers to an equation with only one unknown number, the highest order of which is 1, and both sides are algebraic expressions. One-dimensional linear equation has only one root, which can solve most engineering problems, travel problems, distribution problems, profit and loss problem, integral table problems, telephone billing problems and digital problems.
Geometric significance of one-dimensional linear equation;
Since a linear function of one variable can be transformed into the form of ax+b=0 (A, B is constant, and a≠0), solving a linear equation of one variable can be transformed into finding the value of the corresponding independent variable when a function value is 0. From the image, this is equivalent to finding the value of the abscissa of the intersection of a straight line y=kx+b(k, b is a constant, k≠0) and the X axis.
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