Problem

Given the system \[ \begin{array}{l} 10 x+3 y=-19 \\ 9 x+5 y=-1 \end{array} \] what is the point of intersection? \[ \begin{array}{l} x= \\ y= \end{array} \]

Solution

Step 1 :Multiply equation (1) by 5 and equation (2) by 3 to get: \(50x + 15y = -95\) and \(27x + 15y = -3\)

Step 2 :Subtract equation (4) from equation (3) to get: \(23x = -92\)

Step 3 :Divide by 23 to solve for x: \(x = -92 / 23 = -4\)

Step 4 :Substitute \(x = -4\) into equation (1) to get: \(-40 + 3y = -19\)

Step 5 :Solve for y: \(3y = 21\) then \(y = 21 / 3 = 7\)

Step 6 :\(\boxed{(-4, 7)}\) is the solution to the system of equations

From Solvely APP
Source: https://solvelyapp.com/problems/ILOJKyi5aO/

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