QuestionSolve the system of equations: $x - 2y = 6$ and $x - 2y = -4$ .

Studdy Solution

STEP 1

Assumptions1. We have two equations, which are - $x -y =6$ - $x -y = -4$ . We are to find the values of $x$ and $y$ that satisfy both equations.

STEP 2

To solve for $x$ and $y$ , we can use the method of substitution or elimination. However, in this case, the coefficients of $x$ and $y$ in both equations are the same, so we can use the method of elimination.

STEP 3

Subtract the second equation from the first.
$\begin{align} (x -2y) - (x -2y) &=6 - (-) \\ 0 &=10\end{align}$

STEP 4

The result $0 =10$ is a contradiction, which means that there is no solution to the system of equations.
So, the system of equations $\begin{array}{l} x-2 y=6 \\ x-2 y=-4\end{array}$ has no solution.

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