The solution for the system of equations x−25y=310 and 5x=2y+32, if the system does not have one unique solution, state whether the system is inconsistent, or whether the equations are dependent.

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mhalmantus · Accepted Answer

Step 1 Consider the provided system of equations: x−25y=310 and 5x=2y+32 Convert the equations into standard form Ax+By=C: x−25y=310 1) 10x−4y10=310 10x−4y=3 And 5x=2y+32 2) 10x=4y+3 10x−4y=3 Hence, it is evident from equations (1) and (2) that both the equations are same and written in different forms. So, the equations are dependent and the solution set is given by: {(x,y)∣10x−4y=3} Therefore, the solution for the system of equations x−25y=310 and 5x=2y+32 is {(x,y)∣10x−4y=3}

The solution for the system of equations x-\frac{2}{5}y=\frac{3}{10} and P

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