Problem

Solve the system of equations. \[ \left\{\begin{array}{r} 8 x-y=-11 \\ y=-8 x \end{array}\right. \]

Solution

Step 1 :Solve the second equation for y: \(y = -8x\)

Step 2 :Substitute \(y = -8x\) into the first equation: \(8x - (-8x) = -11\)

Step 3 :Simplify the equation: \(8x + 8x = -11\)

Step 4 :Combine like terms: \(16x = -11\)

Step 5 :Solve for x: \(x = -\frac{11}{16}\)

Step 6 :Substitute \(x = -\frac{11}{16}\) into the second equation to find y: \(y = -8(-\frac{11}{16})\)

Step 7 :Simplify the equation: \(y = \frac{88}{16}\)

Step 8 :Simplify the fraction: \(y = \frac{11}{2}\)

Step 9 :The solution to the system of equations is \(x = -\frac{11}{16}\) and \(y = \frac{11}{2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/rlts2fRnFm/

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