SOLUTION: Write three linear systems that are equivalent to the linear system shown? 5x - 4y= -3 2x + 7y= 5 I usually solve the question first before I ask question to check But thi

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Write three linear systems that are equivalent to the linear system shown? 5x - 4y= -3 2x + 7y= 5 I usually solve the question first before I ask question to check But thi      Log On


   

Question 962218: Write three linear systems that are equivalent to the linear system shown?
5x - 4y= -3
2x + 7y= 5

I usually solve the question first before I ask question to check But this time i'm stuck , and don't
understanding this. Please help me in detail. Thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
5x+-+4y=+-3
2x+%2B+7y=+5
solutions:
x+=+-1%2F43, +y+=+31%2F43
recall: Linear equations will only give the same solutions all the time if the equations can be rearranged to equal+each+other.
1.
so, you can do it if you multiply all terms in both equations by 2
10x+-+8y=+-6
4x+%2B+14y=+10
solutions:
x+=+-1%2F43, +y+=+31%2F43
2.
or, you can do it if you divide all terms in both equations by 2
%285%2F2%29x+-+2y=+-3%2F2
x+%2B+%287%2F2%29y=+5+%2F2
solutions:
x+=+-1%2F43, +y+=+31%2F43

3.
or, you can do it if you multiply all terms in both equations by -1

-5x+%2B4y=+3
-2x+-+7y=+-5+

solutions:
x+=+-1%2F43, +y+=+31%2F43