A point is a solution to a linear equation if, when the coordinates of that point are substituted into the equation, both sides of the equation are equal. In other words, a point \((x, y)\) satisfies the equation if it makes the equation true.
In the example you provided, the point is \((2, 5)\) and the equation is \(y = 2x + 3\). To check if \((2, 5)\) is a solution to this equation, you can follow these steps:
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Substitute the \(x\) value of the point into the equation:
\(y = 2(2) + 3\) -
Calculate the right-hand side: \[ y = 4 + 3 = 7 \]
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Compare this result to the \(y\) value of the point \((2, 5)\), which is \(5\).
Since \(7\) is not equal to \(5\), the point \((2, 5)\) is not a solution to the equation \(y = 2x + 3\).
If the calculation had resulted in \(y = 5\), then \((2, 5)\) would be a solution to the equation.