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Find the solution of the system of equations.2, x, minus, 10, y, equals, minus, 282x−10y=−28minus, 10, x, plus, 10, y, equals, minus, 20−10x+10y=−20

Question

Find the solution of the system of equations.

\begin{align*} \text{1. } & 2x - 10y = -28 \\ \text{2. } & -10x + 10y = -20 \end{align*}

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Solution

Sure, let's solve the system of equations step by step.

The system of equations is:

  1. 2x - 10y = -28
  2. -10x + 10y = -20

Step 1: Simplify the equations if possible. The first equation can be simplified by dividing all terms by 2, and the second equation can be simplified by dividing all terms by 10:

  1. x - 5y = -14
  2. -x + y = -2

Step 2: Add the two equations together. The y terms will cancel out:

0 = -16

This is a contradiction, because 0 is not equal to -16. Therefore, the system of equations has no solution.

This problem has been solved

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