Problem

Using substitution, solve \[ \begin{aligned} 3 y-x & =-1 \\ x & =y+11 \end{aligned} \]

Solution

Step 1 :Substitute the expression for x from the second equation into the first equation: \(3y - (y + 11) = -1\)

Step 2 :Simplify the equation: \(2y - 11 = -1\)

Step 3 :Add 11 to both sides: \(2y = 10\)

Step 4 :Divide both sides by 2: \(y = 5\)

Step 5 :Substitute the value of y back into the second equation: \(x = 5 + 11\)

Step 6 :Solve for x: \(x = 16\)

Step 7 :\(\boxed{x = 16, y = 5}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16304/

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