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Arrange the systems of equations in order from least to greatest based on the number of solution for each system. NEED FAST HELP

Arrange the systems of equations in order from least to greatest based on the number-example-1
User Dredful
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1 Answer

14 votes
14 votes

On solving equations in the box 1:

-5x+y=10 -> 1

-25x+5y=50 ->2

div by -5 on equation 2.

so we get as 5x-y=-10 ->3

so solving 1 and 3 we get the equations cancel each other.so x and y are not true.They dont have any solutions.

On solving the equations in the box 2:

3x -7y =9 -->1

-4x +5y =1 -->2

so lets multiply equation 1 by 4 and euqation 2 by 3 so we get

12x-28y=36

-12x+15y=3

on solving we get -13y=39

y=-3 ,we can get x value by putting y value in any of the above equations.

3x-7(-3)=9

3x+21=9

3x=-12

x=-12/3

x=-4 so we get x=-4 and y=-3

On solving the equations in the box 3:

y=6x-2

by re-arranging we get -6x+y=-2 ---> 1

y=6x-4

on re arranging we get -6x+y=-4 ----->2

multiplying equation 2 by -1

so we get 6x-y=4 ---> 3

on solving 1 and 3 we get them cancel eachother so they have no solutions.

so finally analyzing all the boxes we can conclude that box 2 more number of solutions

User YouEyeK
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