### Systems of linear equations: An equation of a line

### A linear equation with two unknowns

Linear equation with two unknowns

A An equation is true when you substitute the value of #\blue x# and #\green y# of that point in the equation, and the left and right hand side of the equation are equal. |
\[3\cdot \blue{x}+5 \cdot \green{y}+5=0 \] The point #\rv{\blue 0,-\green{1}}# is a solution: \[3\cdot \blue{0}+5 \cdot \green{-1}+5=0\] |

No

After all, to determine if the point #\rv{5, 2}# is a solution to the equation, we enter the point in the equation. If the equation is true, then the point is a solution. If the equation is not true, then the point is not a solution to the equation. In this case we have:

\[6\cdot 5-6\cdot 2-1=17\ne0\]

The equation is not true, hence # \rv{5, 2}# is no solution to the equation.

After all, to determine if the point #\rv{5, 2}# is a solution to the equation, we enter the point in the equation. If the equation is true, then the point is a solution. If the equation is not true, then the point is not a solution to the equation. In this case we have:

\[6\cdot 5-6\cdot 2-1=17\ne0\]

The equation is not true, hence # \rv{5, 2}# is no solution to the equation.

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