Questions: 2x-y=8 -3x-5y=1

Transcript text: sson 7 Systems of Linear Equations rercise 7.1 Solve. \[ \begin{array}{r} 2 x-y=8 \\ -3 x-5 y=1 \end{array} \]

Solution

Solution Steps

To solve the system of linear equations, we can use the method of substitution or elimination. Here, we'll use the elimination method to eliminate one of the variables by adding or subtracting the equations. This will allow us to solve for one variable and then substitute back to find the other.

Step 1: Set Up the System of Equations

We are given the system of linear equations: \[ \begin{align_} 2x - y &= 8 \\ -3x - 5y &= 1 \end{align_} \]

Step 2: Solve the System of Equations

Using the elimination method, we solve the system to find the values of \(x\) and \(y\). The solution to the system is: \[ x = 3, \quad y = -2 \]