"Application of linear equations of two variables - Numbers on milestones" System of linear equations of two variables PPT courseware 2

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"Application of linear equations of two variables - Numbers on milestones" System of linear equations of two variables PPT courseware 2

think about it

Xiao Ming's father rides a motorcycle with Xiao Ming on the road at a constant speed. The picture below shows the mileage that Xiao Ming sees every hour. Can you determine the number on the milestone that Xiao Ming saw at 12:00?

What is the relationship between the distance traveled by motorcycles between 12:00~13:00 and 13:00~14:00? Can you list the equation?

(10x+y)-(10y+x)= (100x+y)—(10y+x)

What are the general steps for solving practical problems with a system of linear equations in two variables?

(1) Clarify the meaning of the question and the equivalence relationship in the question, and use letters to represent the two unknown numbers in the question.

(2) Find two equivalent relationships that can express the full meaning of the word problem.

(3) List two equations respectively based on two equivalence relationships and form a system of equations.

(4) Solve the system of equations and find the values ​​of the unknowns.

(5) Check whether the obtained results are reasonable based on the actual significance of the application questions.

(6) Write an answer that fits the meaning of the question and answer it.

practice

From a two-digit number, subtract three times the sum of its digits. The result is 23 divided by the sum of its digits. The quotient is 5 and the remainder is 1. What is this two-digit number?

Solution: Let the two-digit tens-digit number be x and the single-digit number be y. Then according to the meaning of the question:

10x+y-3(x+y)=23

5(x+y)+1=10x+y

Solution: X=5 Y=6

Answer: The two-digit number is 56.

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For more information about the PPT courseware "Numbers on Milestones of Applying Linear Equations of Two Variables to Systems of Linear Equations of Two Variables", please click the Numbers on Milestones of Linear Equations of Two Variables ppt application ppt tag.

"Application of linear equations of two variables - Numbers on milestones" System of linear equations of two variables PPT courseware 3:

"Numbers on Milestones of Applying Linear Equations of Two Variables" PPT Courseware for Applying Linear Equations of Two Variables 3 (1) A two-digit number, the ones digit is a, and the tens digit is b, then this two-digit number is expressed as an algebraic formula: ______, if you exchange the numbers in the ones and tens places, you get a...

"Application of linear equations of two variables - Numbers on milestones" PPT courseware of linear equations of two variables:

"Numbers on Milestones of Applying Linear Equations of Two Variables" PPT Courseware for Applying Linear Equations of Two Variables 1. If the tens digit of a two-digit number is x and the number in the ones place is y, then this two-digit number can be expressed as ___________;If you exchange the ones and tens digits, you get...

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Update Time: 2024-11-04

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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