Problem

Select the correct answer from the drop-down menu. The equation has no solution. \[ \begin{array}{l} 13 y+2-2 y=10 y+3-y \\ 9(3 y+7)-2=3(-9 y+9) \\ 32.1 y+3.1+2.4 y-8.2=34.5 y-5.1 \\ 5(2.2 y+3.4)=5(y-2)+6 y \end{array} \]

Solution

Step 1 :Simplify each equation:

Step 2 :\(1.\) \(13y + 2 - 2y = 10y + 3 - y\)

Step 3 :\(2.\) \(9(3y + 7) - 2 = 3(-9y + 9)\)

Step 4 :\(3.\) \(32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1\)

Step 5 :\(4.\) \(5(2.2y + 3.4) = 5(y - 2) + 6y\)

Step 6 :Check for contradictions:

Step 7 :The third equation simplifies to \(0 = 1\), which is a contradiction.

Step 8 :\boxed{\text{The third equation (32.1 y+3.1+2.4 y-8.2=34.5 y-5.1) has no solution.}}

From Solvely APP
Source: https://solvelyapp.com/problems/11839/

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