Problem

Solve the system of equations \(2x + 3y = 12\) and \(5x - y = 9\).

Solution

Step 1 :Step 1: Multiply the second equation by 3 to make the coefficient of \(y\) in the second equation equal to the coefficient of \(y\) in the first equation. We get \(15x - 3y = 27\).

Step 2 :Step 2: Add the first equation \(2x + 3y = 12\) to the new second equation \(15x - 3y = 27\), we get \(17x = 39\).

Step 3 :Step 3: Solve for \(x\) in the equation \(17x = 39\), we get \(x = \frac{39}{17}\).

Step 4 :Step 4: Substitute \(x = \frac{39}{17}\) into the first equation \(2x + 3y = 12\), we get \(2*\frac{39}{17} + 3y = 12\).

Step 5 :Step 5: Solve for \(y\) in the equation \(2*\frac{39}{17} + 3y = 12\), we get \(y = \frac{81}{34}\).

From Solvely APP
Source: https://solvelyapp.com/problems/5grFinOsfF/

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