"Who has more packages" System of linear equations in two variables PPT courseware 2

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"Who has more packages" System of linear equations in two variables PPT courseware 2

In a certain Olympic mascot store, the price of a certain mascot highlighter is only 8 yuan each, and a certain mascot plush doll is 40 yuan each.

Xiao Ming bought a total of 10 pieces of the above two items at the counter, spending a total of 240 yuan to collect and give to relatives and friends. May I ask: How many highlighters did Xiao Ming buy in total? How many stuffed animals did you buy?

Suppose Xiao Ming bought x highlighter pens and y stuffed dolls.

What equation can you get from this?

x+y=10

8x+40y=240

An equation containing two unknowns, and the degree of the terms containing the unknowns is 1, is called a linear equation of two variables.

Are any of the following equations linear equations in two variables?

(1) x+y+z = 9, (2) x = 6,

(3) 2x＋6y =14, (4) xy＋y = 7,

(5) 7x+6y+4 =16, (6) x2+y = 6.

1. Contains only two unknowns;

2. The degree of terms containing unknown numbers is all 1.

According to the above example, in the equations x+y=10 and 8x+40y=240, do the meanings of x have the same meaning? What about y?

The meanings of x and y are the same respectively, so x and y must satisfy the equations x+y=10 and 8x+40y=240 at the same time. Connecting them, we get:

x+y=10,

8x+40y=240.

A set of equations composed of two linear equations containing two unknowns is called a system of linear equations in two variables.

The same letter in each equation of the system of equations must represent the same quantity.

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"Who has more packages" PPT courseware of linear equations in two variables:

"Who has more packages?" PPT courseware on quadratic equations. Suppose the old cow carries x packages and the pony carries y packages. The old cow has 2 more packages than the pony. What kind of equation can you get from this? ? The number of packages for the old cow - the number of packages for the pony = 2 x-y = 2 If the old cow grew up...

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Update Time: 2024-07-28

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

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