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High score! ! ! ! ! Solving equations in junior high school mathematics
3000x=7500+2500y+ 1000z

27500y = 16500+ 1600 x+4000 z

30000z= 15000+400x+5000y

Solution: Move the unknown to the left and the constant to the right, and divide the left and right sides by 100 to get:

30x-25y- 10z=75

16x-275y+40z=- 165

4x+50y-300z=- 150

Obtained from the first formula

25y=30x- 10z-75

Substitute the second and third equations to get the equation:

16x- 1 1(30x- 10z-75)+40z+ 165 = 0

4x+2(30x- 10z-75)-300 z+ 150 = 0

Simplify to get:

-3 14x+ 150z+990=0

64x-320z=0

This is easy to understand:

According to the second equation:

X=5z, substitute the first one to get:

-3 14x+30x+990=0

284x=990

Solution:

x=495/ 142,

Then substitute x=5z to get it.

z=99/ 142,

Substitute x and z into 25y=30x- 10z-75.

y=32 1/355