Problem

Determine if the point (2,5) is a solution to the system of equations: \(2x + 3y = 16\) and \(x + 4y = 18\)

Answer

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Answer

Check if the y-values are equal to the y-value of the given point

Steps

Step 1 ：Substitute the x-value of the point into both equations: \(2(2) + 3y = 16\) and \(2 + 4y = 18\)

Step 2 ：Solve both equations for y: \(3y = 16 - 4\) and \(4y = 18 - 2\)

Step 3 ：Solve for y: \(y = \frac{12}{3}\) and \(y = \frac{16}{4}\)

Step 4 ：Check if the y-values are equal to the y-value of the given point

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